Not 100% sure. Look at the pulley on the compressor. You should see a magnetic switch with two wires running to it. How you jump across it will depend on how it's wired. If that switch is not locking the clutch, check the wires to it and see if there is power when the air is switched on. If not, I'd go back and check the switch on the climate control panel to see if it goes hot when the switch is turned on. If you have power at the clutch switch and it's not engaging, then it would indicate a bad clutch, which is not that uncommon.
2015 Legacy SR340 360RB
2014 Jeep Wrangler Unlimited Toad
Gigi, Poppy and Sadie Lady...On the road, but not full time!