I put a new AC compresor in my 2005 Chevy Aveo, but the clutch does not want to click. What should I do? What can be the problem?

Relay, either the high or low pressure switch, faulty wiring. Start by testing continuity between the relay and the plug and a good ground and the plug... if you have put any kind of asp leak in the system you have must likely trashed the pressure switches. Did you vacuum out the system after you replaced the compressor? If not don't even try running the compressor take it to a trained air conditioner tech. Did you also make sure the oil that came out with the old compressor got compensated for by adding new? Air conditioning is not a D.I.Y kind of thing and if you don't have the proper equipment and training then you could get fined out the ass for attempting a repair.

Stop leak not asp leak... damn phone