1996 jeep grand cherokee acts like it is not getting

There's a relay/flasher that sounds like it may be dying. There are actually two of these in your Cherokee - round plug piece about an inch tall that plugs into your fuse block.

The good news these are cheap (less than $10 online). I'd try replacing the turn signal flasher with a new one and see if the noise goes away.

Have throttle body cleaned and "minimum air rate" adjusted. Computer looses learned memory when battery is disconnected and has to start over again.

I had that problem, it was the thermostat keeping the choke on when the engine was warm so when i hit the gas it would act like it was running out of gas.

It is not getting gas. Could be bad fuel pump,and most are now in the fuel tank.If it is the fuel pump and it is in the tank,this can be a fairly major expense.($400-$500)This is not an unusual problem,and many auto repair shops can do it.

I had the same problem and it was the throttle position sensor. have you replaced this? Very easy and solved everything.

crank senor

Have you thought about it possibly being the engine that has something wrong with it? Have you checked the cylinders?

DONT BE CHEAP IF IT NEEDS IT DO IT JUST MY ADVICE JEEP ARE DIE HARD

Seen where this is the culprit many times...it's called your Manifold Absolute Pressure sensor.

But, you did not change the crank sensor (on the drivers side of the bellhousing, just where it's a real pain to get to)