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1.
Slang term used as a game name for the art of giving a blow job

Often used on unsuspecting females as they generally do not know what it means, and the person who asks the question can find it mildly amusing when they are bored, or just being dirty.
To a girl "lets play gobblestick" or "would you like to play gobblestick"
by **DAK** October 12, 2005