My car A/C is not clutching

Just to clarify, those pressure readings that you're giving us would indicate that you have a pressure problem. The high should be considerably higher than 35. Should be closer to 200. I don't know the exact specs. And the low side should be around 30-35. Best way to check if you don't have a proper gauge is the smaller AC line is the high side and should feel really hot and the low side is the bigger tubing and should feel cold. Have you performed a leak test on the AC system to make sure you are not losing your pressure anywhere because that's what it's sounding like.

Are you reading the pressures with the vehicle running or the engine off?

I would take it to a pro in electrical and check if you have any opens or shorts in the HVAC circuit since you said bench testing the compressor proved that the compressor worked.

I'm not sure if the compressor should clutch on and off when bench testing. I would believe it wouldn't because it needs to also receive inputs from the ecm to clutch based on other factors of the vehicle like temperature or load.