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When you say something that is really arrogant but you're not trying to be cocky, so after you say it and realize it was cocky, you say "no cocky." A lot like "no homo"
Student A: "You gonna study for the final?"
Student B: "Nah man, I have a 95% in the class, i can bomb it and still get an A in the class. No cocky."
by Supherman January 13, 2011