I have a 1997 C1500 Chevy suburban. The air conditioner was blowing warm so I checked and there was the proper amount of Freon. I watched a video that said to check the low pressure cut off switch by removing the connection and shorting the connections with a paper clip to see if the compressor clutch would engage and it did so I replaced that switch as well as the plug attaching it making sure to keep the wires in proper order and now the clutch engages and then disengages. you can see the video here to see what it’s doing
Lots of things can cause cycling of the compressor.
How do you know the refrigerant level is correct? Those cheap low side gauges on refill cans are next to useless when working on an air conditioner. This isn't a typical DIYer job, it can be very dangerous. Go and rent a set of real AC manifold gauges at AutoZone and hook up to both the high and low sides and read the system pressures.
A blockage on the high side can cause the compressor to cycle off and on due to the system detecting overpressurization and the safety switch is activating to reduce pressure. You can't see this possibility with a cheapo low side gauge. Not enough pressure from an under-filled refrigerant charge can cause this, there may be enough to engage the clutch, but not enough to keep it engaged. PAG oil flows in the refrigerant, and the compressor will not run or stay running if there is insufficient refrigerant to carry the lubricant.
What is your ambient temperature? The clutch will engage and disengage to keep the evaporator in the dashboard from icing up in cool weather.
That's a typical symptom of low refrigerant. (Low side goes into suction and the low pressure switch cuts off the compressor.) The AC system needs to be diagnosed using a proper manifold gauge set. That video, and the "recharge can" it's using, are useless.