I realize this is an old thread but no answer was ever established. I’ve worked on a number of this generation civic and they are know for the compressor clutch coil giving out. It will work intermittently but after a time will open up. Best test for this is to run it until it stops then check continuity across the clutch coil. Controlers can go bad as well, but typically on this model i have found it is the clutch coil.