Same thing happened to my AC a couple months ago. I decided to buy a new compressor + clutch because removing the clutch can be a PITA. In addition, I would rather replace the entire assembly and not have to worry about the compressor failing shortly after the fix.

It's all up to you, the compressor/clutch cost me $200. I didn't price out new clutches but you could always pull the AC and attempt to remove the clutch before you buy anything. In the mean time, you can bypass the AC with a shorter belt to give you plenty of time to decide.