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1.
A wake'N'fuck when you are still in a groggy state of mind.

Almost like doggystyle and froggystyle.
roll over, i'm puttin' it in, we're doing it Groggystyle.
by wymetyme April 16, 2011
 
2.
(noun): intercourse characterized by mutual feelings of exhaustion, befuddlement and an accumulation of bedtime body oils.
Billy: Yeah, we woke up and just did it groggy style. I definitely had some scrotum sweat.
Heracles: And her odors?
Billy: Pheromones were flying.
Heracles: Hm, most excellent.
by Zhou Enlai March 10, 2012