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

Moby Thesaurus II by Grady Ward, 1.0:

52 Moby Thesaurus words for "craving":
   a habit, acquired tolerance, acute alcoholism, addictedness,
   addiction, alcoholism, amphetamine withdrawal symptoms,
   an universal wolf, appetence, appetency, appetite, appetition,
   athirst, barbiturate addiction, barbiturism, chain smoking,
   chronic alcoholism, cocainism, consumed with desire, coveting,
   crash, dependence, devoured by desire, dipsomania, drug addiction,
   drug culture, drug dependence, fervid, habituation, hunger,
   hungering, hungry, itch, itching, lust, mad with lust, mania,
   nicotine addiction, passion, physical dependence, prurience,
   pruriency, prurient, psychological dependence, sexual desire,
   thirst, thirsting, thirsty, tolerance, urge, withdrawal sickness,
   withdrawal symptoms