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To push an ally out of cover when being pinned by suppressive fire in an FPS.

Etymology: The word is a reference to a "Call of Duty: Modern Warfare" character known as Gaz, whose AI is infamous for pushing the player out of cover during the game's "Campaign" mode.
Person A: I need some cover! they're cappin' the hell outta us!"

Person B: Hey! Quit pushin! Don't Gaz me Bro! Your GAZZING me!
by Darth Thanatos April 29, 2010