Standing for Thursday Island Handshake, a handshake coined by the native people on thursday island near Australia. it typically involves a local such as a barmaid who reaches up the shorts of a another and gently tugs on the man's penis.
man (unsuspecting): wow this bar is great
(meanwhile behind him) the bar mad reaches under his shorts and grabs his dick (the T.I. handshake)
man: ow, oh hey