I spent most of the evening banging on it. I couldn't say if the scroll gear moved or not. I tried hitting the face with a dead blow mallet. I tried tapping the scroll get with a brass punch to turn it. No luck.
Unfortunately the way the jaws are positioned currently, I can't get anything on the scroll gear; it is entirely covered by the jaws.
I do have a theory on what is binding it. I noticed tonight that one of the screw holes was half full of chips and general grime. I dug around in it with a wire and the plug actually pushed through into the chuck body. So I must have pushed a wad of it into the void between the chuck body and scroll gear.
Anyway, I put it to soak in naphtha. Hopefully I'm right about the plug and it will break it up. Beating on the chuck will resume tomorrow. Thanks everyone.