See, that'* why I keep asking.
As I've mentioned above, most Bonneville years' A/C systems take quite a bit larger charge than is usually considered Normal. As an example only
, my '97 manual says that pressures below 50 psi will keep the compressor from cycling. This is considerably higher than the "normal" 25-35 many cars use.
You will need to get input from someone with a '92 FSM or see if your owner'* manual or A/C sticker has the charge value on/in it.
However, if your charge is correct, do a visual inspection of the A/C wiring harness and check for loose/disconnected wires or connectors, check for A/C clutch rotation, and make sure your A/C fuse is not blown.
Those are the basics. We can go from there after you try those and if you don't find anything.
Mike: 1997 SE w/ 183K, aka White Horse
, Gutted Airbox w/K&N, drilled 180* t-stat, tint all around, clear corners w/SilverStars, "PONTIAC" light up tail, PEMs, NGK TR55s