I have been searching for a solution to this repeated stuck cutter issue, and have found a different problem/solution, but it could just be unique to me. I have been fighting with the issue for several weeks, having the cutting recently begin getting stuck for every single filament swap on every layer. I took the whole hotend and extruder assembly apart, and even took a wire brush to the metal filament feeding wheels, scraping every groove. Still nothing. When the arm screw was loose, it was a bit better, but still stuck. I loosend the hotend screws and tugged it down while tightening the screws, in case the cutter was getting pinched all of a sudden. Still no fix.
Today, I took the cutter blade part out and looked very closely. Part of the plastic looked worn. I put some sandpaper on a flat surface, and carefully sanded down the plastic a little, making sure I did not sand/dull the cutter blade itself. This seems to have worked. I cannot be certain it the cutter I am using right now is an aftermarket one or not, but this blade has not been changed in like 8 months, and this issue presented in the past two weeks or so. Weird issue, but sanding worked. Not sure if the channel in the toolhead has shrunk a little or if my cutter plastic has expanded or something. Just thought I would share in case it helped anyone else.