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]

WordNet (r) 3.0 (2006):

sniveling
    n 1: whining in a tearful manner [syn: snivel, sniveling]