The Collaborative International Dictionary of English v.0.48:

Grovel \Grov"el\, v. i. [imp. & p. p. Groveledor Grovelled;
   p. pr. & vb. n. Groveling or Grovelling.] [From OE.
   grovelinge, grufelinge, adv., on the face, prone, which was
   misunderstood as a p. pr.; cf. OE. gruf, groff, in the same
   sense; of Scand. origin, cf. Icel. gr[=u]fa, in [=a] gr[=u]fu
   on the face, prone, gr[=u]fa to grovel.]
   1. To creep on the earth, or with the face to the ground; to
      lie prone, or move uneasily with the body prostrate on the
      earth; to lie flat on one's belly, expressive of
      abjectness; to crawl.
      [1913 Webster]

            To creep and grovel on the ground.    --Dryden.
      [1913 Webster]

   2. To tend toward, or delight in, what is sensual or base; to
      be low, abject, or mean.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

groveling \grov"el*ing\, grovelling \grov"el*ling\, a.
   Lying prone; low; debased; submissive in a self-abasing
   manner. "A groveling creature." --Cowper.

   Syn: cringing, wormlike, wormy.
        [1913 Webster + WordNet 1.5]

WordNet (r) 3.0 (2006):

groveling
    adj 1: totally submissive [syn: cringing, groveling,
           grovelling, wormlike, wormy]

Moby Thesaurus II by Grady Ward, 1.0:

63 Moby Thesaurus words for "groveling":
   abject, accumbent, apple-polishing, ass-kissing, backscratching,
   beggarly, bootlicking, brown-nosing, couchant, couche, cowering,
   crawling, cringing, crouching, decumbent, draped, fawnery, fawning,
   flat, flattering, flunkyism, footlicking, handshaking, hangdog,
   ingratiating, ingratiation, insinuation, kowtowing, lolling,
   lounging, lying, mealymouthed, mealymouthedness, obeisance,
   obeisant, obsequious, obsequiousness, on bended knee, parasitic,
   parasitism, procumbent, prone, prostrate, prostration, reclining,
   recumbent, reposing, resupine, sniveling, sponging, sprawled,
   sprawling, spread, supine, sycophancy, sycophantic, timeserving,
   toadeating, toadying, toadyish, toadyism, truckling, tufthunting