The Collaborative International Dictionary of English v.0.48:

Bout \Bout\, n. [A different spelling and application of bought
   bend.]
   [1913 Webster]
   1. As much of an action as is performed at one time; a going
      and returning, as of workmen in reaping, mowing, etc.; a
      turn; a round.
      [1913 Webster]

            In notes with many a winding bout
            Of linked sweetness long drawn out.   --Milton.
      [1913 Webster]

            The prince . . . has taken me in his train, so that
            I am in no danger of starving for this bout.
                                                  --Goldsmith.
      [1913 Webster]

   2. A conflict; contest; attempt; trial; a set-to at anything;
      as, a fencing bout; a drinking bout.
      [1913 Webster]

            The gentleman will, for his honor's sake, have one
            bout with you; he can not by the duello avoid it.
                                                  --Shak.
      [1913 Webster]

WordNet (r) 3.0 (2006):

bout
    n 1: (sports) a division during which one team is on the
         offensive [syn: turn, bout, round]
    2: a period of illness; "a bout of fever"; "a bout of
       depression"
    3: a contest or fight (especially between boxers or wrestlers)
    4: an occasion for excessive eating or drinking; "they went on a
       bust that lasted three days" [syn: bust, tear, binge,
       bout]