The Collaborative International Dictionary of English v.0.48:

Bicker \Bick"er\, v. i. [imp. & p. p. Bickered; p. pr. & vb.
   n. Bickering.] [OE. bikeren, perh. fr. Celtic; cf. W. bicra
   to fight, bicker, bicre conflict, skirmish; perh. akin to E.
   beak.]
   1. To skirmish; to exchange blows; to fight. [Obs.]
      [1913 Webster]

            Two eagles had a conflict, and bickered together.
                                                  --Holland.
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   2. To contend in petulant altercation; to wrangle.
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            Petty things about which men cark and bicker.
                                                  --Barrow.
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   3. To move quickly and unsteadily, or with a pattering noise;
      to quiver; to be tremulous, like flame.
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            They [streamlets] bickered through the sunny shade.
                                                  --Thomson.
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The Collaborative International Dictionary of English v.0.48:

Bickering \Bick"er*ing\, n.
   1. A skirmishing. "Frays and bickerings." --Milton.
      [1913 Webster]

   2. Altercation; wrangling.
      [1913 Webster]

WordNet (r) 3.0 (2006):

bickering
    n 1: a quarrel about petty points [syn: bicker, bickering,
         spat, tiff, squabble, pettifoggery, fuss]

Moby Thesaurus II by Grady Ward, 1.0:

140 Moby Thesaurus words for "bickering":
   Kilkenny cats, aflicker, aggressive, aggressiveness, altercation,
   apologetics, apologia, apology, argument, argumentation, bellicose,
   bellicosity, belligerence, belligerent, bicker, blinking, boggling,
   captious, captiousness, casuistry, cat-and-dog life, caviling,
   chicane, chicanery, choplogic, combat, combative, combativeness,
   conflict, contention, contentiousness, contest, contestation,
   controversy, cut and thrust, dancing, debate, defense, disputation,
   disputatious, dispute, dissension, dissent, dissidence, divisive,
   dodging, embroilment, enmity, equivocation, equivocatory, eristic,
   evasion, evasive, faction, factional, factious, factiousness,
   fencing, fighting, flak, flashing, flickering, flickery, flicky,
   fluttering, fluttery, flyting, hairsplitting, hassle, hedging,
   hostility, hubbub, infighting, irascibility, irascible,
   irritability, irritable, lambent, litigation, litigious,
   litigiousness, logic-chopping, logomachy, nit-picking, paltering,
   paper war, parrying, partisan, partisan spirit, partisanship,
   passage of arms, pettifoggery, petty, picayune, playing,
   polarizing, polemic, polemics, prevarication, pugnacious,
   pugnacity, pussyfooting, quarrel, quarreling, quarrelsome,
   quarrelsomeness, quibbling, quivering, quivery, rhubarb, row,
   run-in, scrapping, set-to, shifting, shrewish, shrewishness,
   shuffling, sidestepping, spat, squabble, squabbling, strife,
   stroboscopic, struggle, subterfuge, tergiversation, trichoschistic,
   trichoschistism, trifling, trivial, verbal engagement, war,
   war of words, warfare, wavering, wavery, words, wrangle,
   wrangling