Q. Which 2 M*A*S*H characters where married and divorced during the show's run?
A: Margaret "Hot Lips" Houlihan--to Lt. Col. Donald Penobscot; and Maxwell Q. Klinger--to his hometown sweetheart Laverne.
In answer to the bonus question, it was Klinger who never actually got to spend any time with his lovely (I assume, though we never got to see her) bride Laverne. They were married over shortwave radio and she dumped him in a letter. (By the way, did you notice that both times Donald showed up he was played by two different actors?)