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1.
A legendary creature of grandiose repute. The most magnificent and tears-to-your-eyes inducing animal ever to be documented by humankind. Eyewitness accounts describe it as a giant hawk with a penis.
The flight of cock a'feathered

Through the early morning sky
Penetrates the remnants
Of another night gone by

Oh sweet majestic radiance
As bright as a thousand suns
Impel the world as one to claim:
"Behold, the Dickhawk comes!"
by Santiago Artorius July 14, 2014
 
2.
A mohawk for a man's genital area. In other words, when a man shaves his privates to look like a mohawk. Also called a modick.
Ben: Hey Bob, I got a haircut yesterday
Bob: Really? I can't tell.
Ben: That's because I got a dickhawk.
by Gussyboy October 17, 2010