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]