Can a tork timer 1101 be used to control a 240 volt pool pump motor by controlling only 1 lead of the motor thus having the other lead hot all the time?

Tork 1101 has 120Volt clock motor.
So circuit needs a neutral wire, in addition to 240Volt circuit with 2 hot wires.
Make sure brass bridge or jumper wire connects terminals L and 1.

Open following link for illustration.
http://waterheatertimer.org/images/Tork-1101-wired-to-control-240.jpg
Resources:
http://waterheatertimer.org/Tork-timers-and-manuals.html#1101

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I think you have 120Volt pool pump.
Add a comment if this is incorrect since wiring information is based on this assumption.

(1) Wiring problem:
Evidence shows timer is wired in reverse (dial only rotates when pump is ON, and dial stops rotating when pool pump is OFF)
Electrician reversed the wires, but wires need to be tested.
Hot wire from circuit breaker always connects to L
Neutral wire from breaker box connects to unmarked terminal.
This will give clock motor continuous power.
Next:
Black wire going to Load (pump) connects to X
White wire going to Load connects to unmarked terminal along with Neutral wire.

Tork 1103 is SPDT timer with 3 watt 120volt clock motor that can control multiple loads and voltages, and can be wired many different ways.
http://waterheatertimer.org/Tork-timers-and-manuals.html#1101
http://waterheatertimer.org/pdf/1103INSTALLOP.pdf

(2) Loose dial. The dial should only rotate counterclockwise when moved with hand. The fact that trippers work when rotated by hand says dial is probably not problem. If timer is used, and trippers skip over and do not turn on Load (pump) then order P47 replacement trippers.
http://waterheatertimer.org/images/Tork-1102-3-500.jpg

You might need $45 clock motor for for Tork 1101 120Volt.
http://www.frontierlighting.com/product.jsp?part=10431&process=search&show=&&gdftrk=gdfV22514_a_7c834_a_7c3267_a_7c10431

Open following link to identify timer and see replacement clock motor and trippers:
http://waterheatertimer.org/Tork-timers-and-manuals.html#1101

Intermatic crossover shows T101 timer replaces 120Volt Tork 1101.
Amazon sells new Intermatic timer for $45 with super shipping
http://www.amazon.com/Intermatic-T101-Hour-Dial-Timer/dp/B00002N5FN

Crossover wiring from Tork to Intermatic:
Black wire on Tork L and 1 connect to Intermatic terminal 1
White wires on Tork X connect to Intermatic terminal A
Black wire on Tork 2 connects to Intermatic terminal 2
http://waterheatertimer.org/How-to-wire-T104-Intermatuic-timer.html#T101

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The clock isn't working because the Tork 1104 clock motor requires 240 volts. Jumping the 120 volts over from terminal L to terminal 1 doesn't make it 240 volts. You need another 120 volt leg (180 degrees out of phase) to do that. The Tork 1103 timer is what you need, or change the 1104 clock motor to a 120 volt.

T-103 has 120V clock motor with 5 terminals A 1 2 3 4
Tork 1101 has 120V clock motor with 4 terminals L 1 X 2

T103 is DPST and can control one-or-two 120Volt loads, or one-or-two 240Volt loads.
Tork 1101 is SPST can control one 120Volt load

Common ground between these timers one 120 Volt load
Changeover for one 120 Volt load:
White wires T103 terminal A go to Tork terminal X
Black wire T103 terminal 1 goes Tork terminals L and 1 (there is brass connector plate that connects L and 1 - if connector is missing, jumper between L and 1)
Black wire on T103 terminal 2 goes Tork terminal 2

If Load requirement is greater than T1101, Grainger sells T103 clock motor for $16
http://www.grainger.com/Grainger/INTERMATIC-Time-Clock-Motor-1PNK1?Pid=search
http://www.grainger.com/Grainger/timer-accessories/timers/electrical/ecatalog/N-8hi

How to wire T103
http://waterheatertimer.org/How-to-wire-T104-Intermatic-timer.html#T103
T1101 wiring manual
http://waterheatertimer.org/pdf/110111021103WIRING.pdf

Tork 1101 is a 120V mechanical dial-type timer

Tork 1100 series

To set timer, you lift and rotate dial. Line up current time with the word Time located to lower right of dial.

Next, place trippers on dial. Dark trippers are OFF and light-colored trippers are ON

Tork 1101 is 120V timer.
120V Black Hot wire from circuit breaker connects to Pole L
There is a brass bridge that connects Pole L and Pole 1 >> if this is missing, put a jumper wire that connects both Poles
120V White Neural wire from circuit breaker connects to Pole X
White wire going to Load (lights, fan, motor) connects to Pole X
Black wire going to Load connects to Pole 2

Up-vote if this information was helpful. Thanks for the feedback.

According to Intermatic conversion chart, Tork 1191 is same as Tork 1101.

Link to 1101 .pdf
Link to Tork manuals

Tork 1101 is dial-type mechanical timer. Dark pins turn OFF. Light pins turn ON.

Clock motor is 120V
Hot black wire from breaker connects to pole L
Neutral white wire from breaker connects to pole X
Removable bridge connects poles L &1 together
If bridge is gone, Hot from breaker must also connect to pole 1
Black wire to Load connects to pole 2
White wire to Load connects to pole X

Timer can control 240V Load if removable bridge between poles L and 1 is taken out.
Timer clock is still 120V: so 120V Hot still connects to pole L and neutral from breaker connect to poles X
240 V circuit has two hot lines: Hot line 1 and Hot line 2
240 volt Hot line 1 from breaker connects to pole 1
240 volt Hot line 1 to load connects to pole 2
240V Hot line 2 goes directly to Load and does not connect to any pole

http://waterheatertimer.org/Tork-timers-and-manuals.html#1101

1) Tork 1101 has 120Volt clock motor, making this 120Volt timer.

2) 120Volt circuit has 1 black hot wire and 1 white neutral wire and 1 bare ground wire. Ground wires connect to green screw and to each other.

3) You have two cables, each cable has black, white and ground.
One cable arrives from breaker box.
One cable goes to Load (light, fan, motor, pump etc)

4) Cable arriving from breaker box:
a) Hot black connects to terminal L.
There should be a brass connector plate that connects terminals L and 1. If this plate is removed, then add a jumper wire from terminal L to terminal 1.
b) white connects to terminal X

5) Cable going to Load
a) Load black connects to terminal 2
b) Load white connects to terminal X along with other white wire.

1) Tork P47 tripper is correct tripper for 1101 timer.
Trippers are brass-colored and black-colored.
If they do not fit timer dial you might need new timer.
http://www.frontierlighting.com/find.jsp?a=1&ID=,Photo.Cells...Time.Controls,Replacement.Trippers

2) Buy new 120Volt indoor/non-weathertight Tork T1011
To identify timer for sure:
http://waterheatertimer.org/Tork-timers-and-manuals.html

3) Google search Tork 1101 shows timer cost $83

4) Intermatic cross reference shows replacement is T-101 indoor/non-weathertight
Amaxon sells T101 for 43$:
http://www.amazon.com/Intermatic-T101-Hour-Dial-Timer/dp/B00002N5FN

5) Raintight/outdoor: Aplus and Lowes sell raintight outdoor T-101R for $71
http://www.lowes.com/pd_29405-251-T101RD89_0_

http://www.aplussupply.com/intermatic/timer.htm

6) Cross over wiring.
Tork terminal X is T101 terminal A
Tork terminal 1&L are T101 terminal 1
Tork terminal 2 is T101 terminal 2

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T1103 can be wired many ways.
T1103 has 240V clock motor.
http://waterheatertimer.org/Tork-timers-and-manuals.html#1101

You are connecting 240Volt pool pump to timer.
Open link below and see wiring diagram: look at bottom left diagram:
http://waterheatertimer.org/pdf/110111021103WIRING.pdf

Electricians don't guess, they test.
Turn power off and separate wires for testing.
Tape tester leads to wood sticks to keep hands away from power.
Stand on dry boards. Wear dry clothes.
Do not touch anything metal.
Turn power ON.
Test each wire to bare ground wire.
For 240V circuit, two different wires should light up tester. Working from your description, by code, these wires should be black and red.
Each of these wires is Hot wire.
These are called Line wires, wires going to pump are called Load wires.
Hot wires connect to terminals L and 1. This will power the clock motor and dial will rotate as time passes, assuming clock motor is good.

Hots are identified.
Test one of the hot wires to remaining wire, and not to bare ground.
Tester lights up on Neutral wire. This should be white wire.
Double check that Neutral wire did not light up on bare ground.
Neutral is not connected to any 1103 terminal.

Remaining wires go to Load (pool pump).
By code, assuming Hot Lines are Red and Black, the Red & Black Load wires connect to X terminal and 2 terminal, in either order. One wire on each terminal.
White wire connects to Neutral wire and is covered with wire nut.

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