The Collaborative International Dictionary of English v.0.48:

mooch \mooch\ v. t.
   1. to ask for and get free; to borrow without intending to
      repay; to sponge; -- usually with objects of small value;
      as, he mooched a few cigarettes from me.

   Syn: bum, cadge, grub, sponge.
        [WordNet 1.5]

   2. To beg for.
      [PJC]

WordNet (r) 3.0 (2006):

mooch
    n 1: someone who mooches or cadges (tries to get something free)
         [syn: moocher, mooch, cadger, scrounger]
    v 1: ask for and get free; be a parasite [syn: mooch, bum,
         cadge, grub, sponge]

Moby Thesaurus II by Grady Ward, 1.0:

68 Moby Thesaurus words for "mooch":
   bat, bat around, beg, bum, bum around, cadge, count ties, divagate,
   do nothing, drift, flit, gad, gad about, gallivant, go about,
   go the rounds, goof off, hang around, hit, hit the road,
   hit the trail, hit up, hobo, idle, jaunt, knock about,
   knock around, laze, lazy, lie around, loaf, loiter about,
   loll around, lollop around, lounge, lounge around, meander,
   mooch around, moon, moon around, nomadize, panhandle, pass the hat,
   peregrinate, pererrate, prowl, ramble, range, roam, rove,
   run about, saunter, scrounge, sit around, slouch, slouch around,
   stand around, straggle, stray, stroll, touch, traipse, tramp,
   vagabond, vagabondize, walk the tracks, wander, wayfare