The Collaborative International Dictionary of English v.0.48:

Quibble \Quib"ble\, v. i. [imp. & p. p. Quibbled; p. pr. & vb.
   n. Quibbling.]
   1. To evade the point in question by artifice, play upon
      words, caviling, or by raising any insignificant or
      impertinent question or point; to trifle in argument or
      discourse; to equivocate.
      [1913 Webster]

   2. To pun; to practice punning. --Cudworth.
      [1913 Webster]

   Syn: To cavil; shuffle; equivocate; trifle.
        [1913 Webster]

Moby Thesaurus II by Grady Ward, 1.0:

75 Moby Thesaurus words for "quibbling":
   adverse criticism, animadversion, aspersion, bad notices,
   bad press, bickering, boggling, captious, captiousness, carping,
   cavil, caviling, censoriousness, chicane, chicanery, choplogic,
   critical, criticism, cynical, dodging, equivocation, equivocatory,
   evasion, evasive, exception, faultfinding, fencing, flak,
   hairsplitting, hedging, hit, home thrust, hostile criticism,
   hypercritical, hypercriticalness, hypercriticism, imputation,
   knock, logic-chopping, nagging, niggle, niggling, nit, nit-picking,
   obloquy, overcritical, overcriticalness, paltering, parrying,
   pestering, pettifoggery, pettifogging, petty, picayune,
   prevarication, priggishness, pussyfooting, quibble, rap,
   reflection, reproachfulness, shifting, shuffling, sidestepping,
   slam, stricture, subterfuge, swipe, taking exception,
   tergiversation, trichoschistic, trichoschistism, trifling, trivial,
   ultracritical