Every A/C system I know about has several things that control the clutch cycling. A high pressure switch, low pressure switch, a sensor in the evaporator. If the evaporator gets too cold the sensor will shut off the compressor to prevent the evaporator from freezing up. Then when the temp comes back up then the clutch will kick back in. If the pressure in the a/c system gets too high on the high side it will kick out, also if the low gets too low or into a vaccumn then the compressor kicks out to prevent more damage.
Couple things to look at. Is your engine fan clutch in good shape. If the condensor does not have enough air flow over it, the a/c system will not work right, and the clutch will cycle. Is your truck leaving a puddle under the cab on the right front. If not get the drain hose found and dig the little caterpillar nest out of it, so you feet and floorpans don't get wet. If you live in a real dry region then this may not apply. Here in iowa on a hot HUMID day a/c systems pump out gallons of water. I have to be careful with my service truck. It could get stuck in a field after the truck has run all day while I am working with the boom and on board air, because of the mud under the truck.
Does your truck have cold air comming out of the vents? Are you comfortable in the cab on a hot day? Get a thermometer and stick it in the vents and see the vent temp. Ususally I can get down to low 30 Degrees F with most 134 A/C systems. It may be higher on yours being the system is r12 converted to r134a.
As long as you are "cool" in the cab, and the temp is not going up and down, everything is working correctly. The clutch in and out is how the a/c system regulates it self.
Are you satisfied with the temp in the cab, versus the r12? My truck a/c is acting up, and I know it will be $$$$ for r12 repair, but if I can change it to R134a then I have all the stuff to make it work. Just wondering.
Michael