98 Jeep Cherokee Classic No Hazards or Signals

Does it do the same with the lights on 'High' beam? If it works correctly on 'High' beam it could be the switch in the lever at fault.
Next check the fuses for the turn signals and the Hazard lights. They will be in the fuse box under the hood. Some vehicles will have separate fuses for Left, Right and Hazard lights others may share fuses.
If the fuses are OK it could be a faulty flasher unit. Check to see if the hazard lights work correctly. Some vehicles use separate flasher units for turns and hazards and others share 1.

sounds like a blown fuse

you need a new flasher it'll be in the fuse box

On your model,there is a separate hazard relay to the turn signal relay.On the fuse block(right-hand side kickpanel just inside the r/hand door)the upper left relay is the turn signal relay.Bottom right is for the hazards.Hope this helps you.

Check your "flahsers" maybe need to change.

Also can review this document, in spanish but the graphics can help you:
- WJ-Cherokee-Service-Manual-PDF-08J-Sistema-de-Senales-de-Giro (Signals and Hazard Lights)
- WJ-Cherokee-Service-Manual-PDF-08W-Diagrama-de-Cableado (Wiriring Diagrams - 8W 52-1, page 303 and next)

Good luck (remember rated this help).

Mine just went out this past week and found the flasher/hazard fuse inside the glove compartment under the plate with the pull cord to access.The 1994 Jeep Grand Cherokee Laredo AWD part# on the fuse and called to confirm with a Jeep dealer is:
56007243 and appx. 44.00 from the dealer, may be able to get from an auto store as well.

Good luck if it is the fuse box you were looking for.

the circle three prong fuse is the turnsignal flasher and that very well could be the problem. does the signals come on and then not flash or does the signals not come on at all?

Check fuses, also check the switch for your hazard lights, if the wires get disconnected on that switch it will disable the turn signals and hazards as well.  It could also be a bad switch.  Otherwise it's a wiring issue somewhere along the line. Good luck.

You need to replace the fuse - have a look at the manual and see which fuse it is buy a new one put it in and it should be fine - the on off thing is where the fuse wire touches and then moves again.

Turn Signal Light and Hazard Lights have one separated accesory. For this component review the Page 8J-1 / Fig 2 in this document: ZJ-Secc-8J-Turn-Signals-and-Hazard-Warning-Flashes

Maybe can help you. Good luck.