The Collaborative International Dictionary of English v.0.48:

Crave \Crave\ (kr[=a]v), v. t. [imp. & p. p. Craved
   (kr[=a]vd); p pr. & vb. n. Craving.] [AS. crafian; akin to
   Icel. krefja, Sw. kr[aum]fva, Dan. kr[ae]ve.]
   1. To ask with earnestness or importunity; to ask with
      submission or humility; to beg; to entreat; to beseech; to
      implore.
      [1913 Webster]

            I crave your honor's pardon.          --Shak.
      [1913 Webster]

            Joseph . . . went in boldly unto Pilate, and craved
            the body of Jesus.                    --Mark xv. 43.
      [1913 Webster]

   2. To call for, as a gratification; to long for; hence, to
      require or demand; as, the stomach craves food.
      [1913 Webster]

            His path is one that eminently craves weary walking.
                                                  --Edmund
                                                  Gurney.

   Syn: To ask; seek; beg; beseech; implore; entreat; solicit;
        request; supplicate; adjure.
        [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Craving \Crav"ing\ (-?ng), n.
   Vehement or urgent desire; longing for; beseeching.
   [1913 Webster]

         A succession of cravings and satiety.    --L'Estrange.
   -- Crav"ing*ly, adv. -- Crav"ing*ness, n.
   [1913 Webster]

WordNet (r) 3.0 (2006):

craving
    n 1: an intense desire for some particular thing