Yeah, typically, the quick engage/disengage is reslutant from undercharge or overcharge. When undercharged, the compressor comes on, sucks the low side down to practically nothing almost instantly, and the low pressure switch cuts the compressor clutch. As soon as the compressor quits suction, the pressure comes back, which allows the compressor to come back on. Vicious cycle.
When overcharged the compressor comes on, but the sudden increase in headpressure makes the high side pressure switch disengage the compressor clutch... . as soon as it quits, the pressure drops, which allows the compressor to come back on.....
Either one is not good on the components, but most likely you have an undercharged condition, which is easily fixed as stated above. Good luck.