The Collaborative International Dictionary of English v.0.48:

Bickerer \Bick"er*er\, n.
   One who bickers.
   [1913 Webster]

Moby Thesaurus II by Grady Ward, 1.0:

55 Moby Thesaurus words for "bickerer":
   battler, belligerent, belted knight, blade, bravo, brawler, bully,
   bullyboy, combatant, competitor, contender, contestant, disputant,
   duelist, enforcer, fencer, feuder, fighter, fighting cock,
   foilsman, gamecock, gladiator, goon, gorilla, hatchet man, hood,
   hoodlum, hooligan, jouster, knight, militant, plug-ugly, quarreler,
   rioter, rival, rough, rowdy, ruffian, sabreur, scrapper, scuffler,
   squabbler, strong arm, strong-arm man, strong-armer, struggler,
   swashbuckler, sword, swordplayer, swordsman, thug, tilter, tough,
   tussler, wrangler