The Collaborative International Dictionary of English v.0.48:

drawer \draw"er\, n.
   1. One who, or that which, draws; as:
      (a) One who draws liquor for guests; a waiter in a
          taproom. --Shak.
      (b) One who delineates or depicts; a draughtsman; as, a
          good drawer.
      (c) (Law) One who draws a bill of exchange or order for
          payment; -- the correlative of drawee.
          [1913 Webster]

   2. That which is drawn; as:
      (a) A sliding box or receptacle in a case, which is opened
          by pulling or drawing out, and closed by pushing in.
      (b) pl. An under-garment worn on the lower limbs.
          [1913 Webster]

   Chest of drawers. See under Chest.
      [1913 Webster]

WordNet (r) 3.0 (2006):

drawer
    n 1: a boxlike container in a piece of furniture; made so as to
         slide in and out
    2: the person who writes a check or draft instructing the drawee
       to pay someone else
    3: an artist skilled at drawing [syn: draftsman, drawer]