Sorry, alanabit, I just can't hear it; in my opinion his playing is competent on all three of those songs, nothing more. "It's Alright Ma" is a good part, but most of us who have been playing seriously for any length of time could do it better. "Tomorrow Is A Long Time" and "One Too Many Mornings" are both fairly pedestrian backing guitar parts -- simple alternating-thumb stuff (often called "Travis picking," although that's somewhat inaccurate). "Buckets of Rain" is the kind of part anyone will make up when they first discover open tunings.

Mind you, I'm a great admirer of Dylan, and I think these guitar parts are appropriate to the songs. They just don't rise to the level of great guitar playing -- they're functional, that's all.