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1.
1)Oral sex.

2)A positive outweighing possible negative personality traits of a potential female sexual partner, eg "She can't be annoying with a mouthful of coq!".

3) The punchline to the joke "What do you call nuts on your chest? Chestnuts. What do you call nuts on a wall? Walnuts. What do you call nuts on your chin?"
James: "Lauren! Stop being so sexually repressed!"
TJ: "She can't be sexually repressed with a..."
Everyone: "Mouthful of coq!"
by Elmsters June 06, 2005