The gages are flickering

Question edited for clarity.
Question moved to model category.

It could be many things and it is no good guessing. An auto electrician can connect a professional grade scan tool computer and record what happens at the moment it stalls. It is more cost effective that guessing and swapping out parts. It may just be a cracked wire or a bad connector.

https://www.google.com/search?q=auto+electrician+near+me

https://www.google.com/search?q=1999+Jeep+Grand+Cherokee+engine+stalls+while+driving

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check the coolant level. check thermostat for correct operation. Have a compression test done to check for head gasket or cracks . All indications are that the motor is overheating badly.

Could be the ASD relay among other things.
Can you check to see if the coil and injectors have power the next time it fails to start ?

run fault codes to se if any faults have been recorded.

run the fault codes
could be faulty injectors / low fuel pressure or it could be failing crank/cam shaft position sensors

Have your catalitic convertor checked. When they go bad they clog up the exhaust system, not letting you vehicle breath. it will run(maybe) for a minute then die.
Randy

new guest: Have the same problem with 2004 Grand Cherokee Limited. No one can seem to find the problem.
Answer is never buy a jeep again.

Sounds like a clogged fuel filter ( cheap and easy to change) and should be to avoid this as it can lead to a sluggish or failed fuel pump.

Fuel filters are sometimes clear plastic so you can see the grunge through teh little housing while others are metal housings and you change em cause its time if you cannot remember having done so.

The battery seems to be sending the wrong signals. get it replaced.

check the battery to make it is fully charged and also put some dry gas in the gas tank