A synonym for awkward. This definition was a result of the stand-up comedy of Demetri Martin in which he drew a picture of a double hawk that said "I'm awkward." Because a bird with four wings would be awkward.
"It was double hawk today at lunch because Sam and I were talking about Beth and we turn around and she's sitting right there."
A mythical creature much like the hawk of legend. His power has been enhanced by adding an additional set of wings.
Guy: Dude, that double hawk at my cheetos!
Girl: The extra set of wings is way sexy