A/C kicking in and out.

Question edited for clarity.
Question moved to model category.

Fuse 30

Jeep Cherokee (XJ; 1997-2001) fuses and relays

Fuse Box Diagrams https://fuse-box.info > jeep > jeep-cherokee-xj-1997-2...

Fuse box diagrams (location and assignment of electrical fuses and relays) Jeep Cherokee (XJ; 1997, 1998, 1999, 2000, 2001).

Jeep Cherokee 1997-2001: Fuse Box Diagram

Jeep Cherokee Forum https://www.cherokeeforum.com > how-tos > jeep-che...

Apr 14, 2017 - The Jeep Cherokee XJ has two fuses boxes. The first one is located under the hood. It is a black box that is located between the battery and the engine coolant ...

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Jeep Cherokee (XJ) 1997 - 2001 Fuse & Relay Information

lunghd.com https://www.lunghd.com > Tech_Articles > Electrical
Jeep Cherokee (XJ) 1997 - 2001 Fuse & Relay Information · Power distribution center (Located under the hood.) · Junction / Fuse Block (Located inside kick panel.) ...

you havn't mentioned year but a "G" switch is a mercury filled sensor used in the braking system see attachments ( hopefully).Disconnect the battery , once located and removed DO NOT attempt to open up the component , place in a metal container and take to be recycled , mercury is very toxic , there is only ONE component the schematic shows the usual locations
Removal Procedure for 1993-2001 Jeep Grand Cherokee:
Fold the rear seat assembly forward and roll back the carpeting to gain access to the sensor.

1. Locate the ABS G-Force Sensor.
2. Disconnect the harness connector.
3. Remove the two bolts to release the sensor.
4. Schematic,(general)

check kick down band adjustment,to tight,or lose,DON'T, over losen, a part inside the transmission will drop out inside transmission causing disasembly to be needed,check linkage first,could also be sticking servo which works the kick down band

How many miles are on the engine? Have you tried to replace the oil pressure switch? is the engine making any type of noise due to low pressure reading?

if the compressor kicks on then it may not need gas, you may have another problem, caution dont blow up can or system, if the can is connected to low side and the compressor is running then it should take the freon.

ITS INTHE INTAKE MANIFOLD MAP STANDS FOR MANIFOLD ABSOLITE PRESSURE THE SERVICE CODE SHOULD BE PO1106 HIGH VOLTAGE OR PO1107 LOW VOLTAGE IF YOU DON;T HAVE THESE CODES THEN ITS PROBELY NOT THE MAP SENSOR REPLACING COMPOUNETS SHOULD BE THE LAST STEP FORM A PLAIN IM NOT SAYING MAP IS NOT THE PROBLEM BUT BLINDLY REPLACEING SENSORS CAN BE A COSELY MISTAKE GET CODES

sounds like system is low on freon,? safety switch turns system off when too low on freon to prevent burning itself (the compressor) up...

4.0L - Location of Oil Pressure Switch - Rh side of Engine block above starter, 3 wire connector

4.7L - Location of Oil Pressure Switch - RH side of motor next to oil filter, 3 wire connector

if you have the 5.2 V8 its located in the rear of the engine near the dist cap area you can see it if you look in that area , if 4.0 6 cyl its located on the side of the engine block near the oil filter area. It has two wires going to it and screws into the block. It's made mainly of plastic and if broken can allow oil under pressure to spew out and give you thoughts of a blown rear main seal due to the amount of oil all over the underside.

If compressor isn't kicking in, check the connector atop the a/c accumulator, beside the coolant recover tank, in the engine compartment. That connector is atop a black bottle, and the connector goes to the low pressure switch. These switches do fail, and you can jump a wire across the connector terminals to see if the compressor comes on (engine running). As this circuit provides part of the ground path from the compressor clutch, if the switch is open, the compressor will never turn on. If the switch is failed, it can be replaced without opening the a/c system. Just disconnect the connector, unscrew the switch, replace it, and reconnect the connector.