I don't know how often rematches happen, but they do occur. About 11 weeks after my mom, Lois, and her frenemy, Fran, had their first hairpulling contest -- which Lois won -- Fran sought revenge before she and her family moved away from the neighborhood. She sneaked up behind Lois, while she was weeding a flower bed, grabbed her by her hair and pulled her to her feet. Then she spun Lois around and slapped her. That's how their second catfight began. Four years later they had a grudge match.
I witnessed their first catfight, but not their other two. My mom told me about those. Here's the links to my accounts of all three of their hairpulling catfights, in case you're interested.
http://www.freecatfights.com/forums/index.php/topic,4431.msg21522.html#msg21522http://www.freecatfights.com/forums/index.php/topic,4533.msg22087.html#msg22087http://www.freecatfights.com/forums/index.php/topic,4590.msg22293.html#msg22293Rawhide