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1.
A homosexual; one who dodges or avoids box
Why wouldn't Sean go home with those girls? He's such a box dodger.
by Mr. Underwood April 27, 2007
 
2.
A person of either sex who refuses to perform oral sex on a female.
Person A: "How did it go with Ken last night?"
Person B: "Not good. I found out he was a boxdodger and the night pretty much ended right there."
by crustyriotgrrl April 04, 2010