[1] : The Collaborative International Dictionary of English v.0.48

lap up \lap up\, v. t. see lap, v. i.
   1. to take up drink or food with the tongue; to drink by
      licking up.
      1913 webster

   2. fig. to accept or enjoy enthusiatically and
      uncritically; as, to lap up praise.
      pjc
see also:
lap 

[2] : WordNet (r) 2.0

lap up
     v : take up with the tongue; "the cat lapped up the milk"; "the
         cub licked the milk from its mother's breast" syn: lap,
          lick
see also:
lap lick 

[3] : Moby Thesaurus II by Grady Ward, 1.0

48 moby thesaurus words for "lap up":
   and sinker, be a sucker, be taken in, bib, bite, devour,
   drain the cup, dram, drink, drink bottoms-up, drink deep,
   drink hard, drink off, drink up, eat up, fall for,
   follow strong drink, gargle, go for, gobble up, grog, gulp down,
   guzzle, imbibe, knock back, lap, lick, line, nibble, nip, quaff,
   sip, slurp, soak, soak up, sponge up, sup, swallow,
   swallow anything, swallow hook, swallow whole, swing at,
   take the bait, tipple, tope, toss down, toss off, tumble for

Ball Up >> B Words
Ball Up, definition of term: Ball Up
ball+up_pag1.html

Backed Up >> B Words
Backed Up, definition of term: Backed Up
backed+up_pag1.html

Back Up >> B Words
Back Up, definition of term: Back Up
back+up_pag1.html

Ante Up >> A Words
Ante Up, definition of term: Ante Up
ante+up_pag1.html

Act Up >> A Words
Act Up, definition of term: Act Up
act+up_pag1.html