Timer cannot get the timer light off

Where is light located?
What is light used for?
What voltage?
Is this light inside home?
Is there a timer?
What brand and model timer?
Add a comment and describe timer.
Is this an old timer that stopped working, or a new timer that might be wired wrong?
Is light bulb good?
have you tried different light bulb?
http://waterheatertimer.org/How-to-set-timers.html
http://waterheatertimer.org/How-to-wire-timers.html

If you need further help, I’m available over the phone at https://www.6ya.com/expert/gene_9f0ef4df2f9897e7

Hello Barb.
EJ351 timer indicator light problem:
Reset timer and try again.
This timer is rated for incandescent lighting only, 500 watt max, 40 watt minimum, and timer has two wires.
When replacing switch, either wire can connect to timer wires.
Check circuit breaker: click breaker all the way off, and then back on.
Use non-contact voltage tester to see if wires are live at timer.

If the timer does not work, then it has 1 year limited warranty for defects in workmanship.

Copy following link for EJ351 timer manual with instructions for resetting timer.
http://waterheatertimer.org/pdf/Intermatic-ej351c.pdf

If you need further help, I’m available over the phone at https://www.6ya.com/expert/gene_9f0ef4df2f9897e7

Utilitec is single-pole timer.
Wiring sounds correct. Lights will blink if timer white white is connected with timer red wire. Lights will not turn ON if timer red and timer black are reversed. Green to ground is not necessary for timer operation.
Check light bulbs are operational.

Bundle of white wires are neutral wires.
Timer white wire requires neutral connection to complete circuit to timer electronics.

If bulbs are good, it is likely that loose white wire is problem, since each of the outdoor lights also needs neutral wire to complete circuit.
Having 6 white wires connected together, plus stranded wire from timer, takes a large wire nut, and that many wires can have a wire fall loose without notice. You can solder wires together, or break the group apart under different wire nuts with a jumper wire between.

Resources:
http://waterheatertimer.org/How-to-twist-electric-wire.html
http://waterheatertimer.org/B220C.html
http://waterheatertimer.org/See-inside-main-breaker-box.html

http://waterheatertimer.org/Woods-timers-and-manuals.html#troubleshoot
http://waterheatertimer.org/Woods-timers-and-manuals.html#TE05W

You want to control each light with different programming?
Westek TE05 timer is single-channel timer, so different lights cannot be controlled by different programs.

You need a two-channel timer so each light can come on at different times.
http://waterheatertimer.org/GE-timers-and-manuals.html#zilla
Zilla timers are two-channel timers: yellow outlets for daytime, and blue outlets for nighttime.

Intermatic make HB51 timer.

If this is not your timer, then add a comment.
To set for ON at dusk, and off 8 hours later, rotate dial to the number 8.
Timer turns on automatically at dusk.
Timer set to 8 hours will start countdown when timer turns ON > and 8 hours later timer will turn off.

Make sure timer is turned away from lights so photo-eye doesn't receive feedback.
Feedback is when the photo eye gets too much light, and then timer thinks it's dawn, so lights turn off, and a moment later photo eye thinks it's dusk again and lights turn on again.
Feedback from lights will cause timer to reset the 8 hour countdown.
A car pulling in the driveway can cause feedback.
If the timer resets because of feedback, it begins the 8 hour countdown again, so the lights will not turn off until dawn.

You can test timer by putting black tape over photo eye, and then timer will turn on.
Set timer for 2 hours for example and then check if timer turned off 2 hours later.

If timer is not functioning correctly, then timer is defective.

You posted under Intermatic make HB51 timer.

If this is not your timer, then add a comment.

To set for ON at dusk, and off 4 hours later, rotate dial to the number 4.
Timer turns on automatically at dusk because timer has photo eye.
Timer set to 4 hours will start countdown when timer turns ON > and 4 hours later timer will turn off.

Make sure timer is turned away from lights so photo-eye doesn't receive feedback.
Feedback is when the photo eye gets too much light, and then timer thinks it's dawn, so lights turn off, and a moment later photo eye thinks it's dusk again and lights turn on.
Feedback from lights will cause timer to reset the 4 hour countdown.
A car pulling in driveway can cause feedback.
If timer resets because of feedback, it begins 4 hour countdown again, so lights will not turn off until much later than planned, or not turn off until dusk.

You can test timer by putting black tape over photo eye, and then timer will turn on.
Set timer for 2 hours for example and then check if timer turned off 2 hours later.

If timer is not functioning correctly, then timer is defective.

Two things can cause problem.
1) defective timer
2) feedback from nearby lights

Make sure timer is turned away from lights so photo-eye doesn't receive feedback.
Feedback is when the photo eye gets too much light, and then timer thinks it's dawn, so lights turn off, and a moment later photo eye thinks it's dusk again and lights turn on again.
Feedback from lights will cause timer to reset the 6 hour countdown.
A car pulling in the driveway can cause feedback.
If the timer resets because of feedback, it begins the 6 hour countdown again, so the lights will not turn off until much later, or at dawn.

You can test timer by putting black tape over photo eye, and then timer will turn on.
Set timer for 2 hours for example and then check if timer turned off 2 hours later.

If timer is not functioning correctly, then timer is defective.

Sounds like you have too much load. The device is using its heatsinks like they were designed for. To dissipate heat.

Maybe the lights are causing photoelectric eye to sense that it's no longer dark.
This is called feedback.
To check this, set timer for 2 hours.
Put black tape over photoeye.
Check if timer turns on-and-off.

If timer continues to blink, then timer is suspect. Return it for another one.
If feedback is causing the problem, then turn timer away from lights or place obstruction between timer and lights.