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When someone (very typically a male) acts in a way that is usually representative of a female. Can also be applied to express general disgust or discontent at one's actions. See examples below for clarification.
Matt: She was never into him in the first place. I can't believe that he's still upset about me hooking up with her; he's been boxing out for an entire week now.

Darryl: Nah, he's not coming out tonight. He's staying in to play video games. He totally boxed out on us.

Brice: He said that he MIGHT show up. Chances are that he'll just box out.
by Brice James August 22, 2007