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1.
Fleshpipe refers to a mans penis.

It is also used as an insult. like "Man you smoke serious fleshpipe" which means that person uses the fleshpipe(or penis) as a ciggerate constantly.
Man 1: "hey you"
Man 2: "yes"
Man 1: "you smoke some serious fleshpipe"
Man 2: "che like a badger"
by Steve Amazing December 17, 2007
 
2.
A word for cock that i have now officially coined. Also just like teh term skin pipe and skin cigar, except a little different.
go smoke a flesh pipe you cokcsucking jackassss
by Lukasa March 23, 2005