AC issue, does this sound familiar?

A.C. issue. Has any one else had this happen to them? 2003 Crown Vic Interceptor. The car is in very good condition. One thing though, and I timed this with a stop watch a couple of times, After initial start up of the car, it will take 2 to 3 minutes for the AC clutch to engage, AC performs very well otherwise just as it should. I did perform the \\"idle procedure\\" recommended in the owners manual after disconnecting battery or replacement of battery and this improved it from 3 to 6 minutes. It is very consistent.