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1.
A cock peeing or a cock that needs to pee real bad.
If you choke your chicken when you're about to pee, then you're choking your peecock.
by Tin Kle April 12, 2005
 
2.
An erection aquired only because you need to pee. Often occurs in the morning when you wake up. (see morning wood)
During the very long car trip i had to go so bad i got a pee-cock
by dakingwuzhere March 28, 2009