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1.
An unorganized boxing match that usually happens on the streets or in a schoolyard. A fist fight is strictly throwing punches, unlike most street fights. If the participants start grappling and whatnot, then it is more of a brawl.
The teacher and student started fist fighting, but it eventually turned into a brawl.
by The Phone Booth April 24, 2004
 
2.
to furiously masturbate.
That guy is so lonely. I heard he spend the weekend fistfighting with himself.
by darwin February 28, 2005
 
3.
to furiously masturbate
That is so lonely, I heard he spent all weekend fist fighting with himself.
by darwin February 28, 2005