Possible Clues:

• Cigarette butt
• Fellow departs after pinching Georgia's butt
• Butt and mutt close?
• Butt boxer, say, that's close
• Cook good part, last of joint
• To pursue aim is a bit of a fag
• Gee, it's a bit of a fag
• Locating woman's place in 2 is a bit of a fag
• Tail or butt?