Compressors and Clutch Coil

Well compressors have clutch coils, and I'm sure that is what they were referring to, thinking that the clutch was sporadically engaging due to a weak coil.  The connectors on the clutch coil and pressure switches should be checked for corrosion/looseness.  Since they replaced the compressor, I assume the problem is elsewhere like at a pressure switch possibly, or it could even be the A/C console switch itself in the car since you said you could 'fool' it by turning the interior fan on/off which to me sounds like the console has a problem.  If it turns out to be the console, demand a pro-rated refund for the compressor.