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Hi Rick, I'm Brian and I'm here to help!
If the system were slightly low on refrigerant, enough just to raise the superheat high enough so there was not enough vapor rich refrigerant coming back to cool the compressor properly, but not low enough to cause you to notice poor cooling efficiency, your system could exhibit these symptoms. The compressor would run during a cycle at just below the temperature threshold for tripping out on high temperature but when the compressor cycled off at the thermostat, the stored heat in the compressor windings would be enough to trip the internal temperature overload.
A very dirty or corroded condenser coil causing a very high condensing temperature could possibly cause this too as could a compressor with bearings or other components worn to the point of too much mechanical drag. The first statement above would be the far more likely cause though.
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