The Collaborative International Dictionary of English v.0.48:

Snivel \Sniv"el\, v. i. [imp. & p. p. Sniveledor Snivelled;
   p. pr. & vb. n. Sniveling or Snivelling.] [OE. snivelen,
   snevelen, snuvelen, freg. of sneven. See Sniff, and cf.
   Snuffle.]
   1. To run at the nose; to make a snuffling noise.
      [1913 Webster]

   2. To cry or whine with snuffling, as children; to cry weakly
      or whiningly.
      [1913 Webster]

            Put stop to thy sniveling ditty.      --Sir W.
                                                  Scott.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Snivel \Sniv"el\, n. [AS. snofel. Cf. Snivel, v. i.]
   Mucus from the nose; snot.
   [1913 Webster]

WordNet (r) 3.0 (2006):

snivel
    n 1: whining in a tearful manner [syn: snivel, sniveling]
    2: the act of breathing heavily through the nose (as when the
       nose is congested) [syn: snuffle, sniffle, snivel]
    v 1: talk in a tearful manner [syn: snivel, whine]
    2: snuff up mucus through the nose [syn: snuffle, snivel]
    3: cry or whine with snuffling; "Stop snivelling--you got
       yourself into this mess!" [syn: snivel, sniffle,
       blubber, blub, snuffle]

Moby Thesaurus II by Grady Ward, 1.0:

29 Moby Thesaurus words for "snivel":
   bawl, be hypocritical, blandish, blubber, boohoo, break down,
   burst into tears, cant, cry, dissolve in tears, drop a tear,
   give lip service, give mouth honor, greet, mewl, mouth,
   play the hypocrite, pule, reek of piety, render lip service,
   shed tears, sniffle, snuffle, sob, soft-soap, sweet-talk, weep,
   whimper, whine