The Collaborative International Dictionary of English v.0.48:

Fleshy \Flesh"y\, a. [Compar. Fleshier; superl. Fleshiest.]
   1. Full of, or composed of, flesh; plump; corpulent; fat;
      gross.
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            The sole of his foot is fleshy.       --Ray.
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   2. Human. [Obs.] "Fleshy tabernacle." --Milton.
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   3. (Bot.) Composed of firm pulp; succulent; as, the
      houseleek, cactus, and agave are fleshy plants.
      [1913 Webster]

WordNet (r) 3.0 (2006):

fleshy
    adj 1: usually describes a large person who is fat but has a
           large frame to carry it [syn: fleshy, heavy,
           overweight]
    2: of or relating to or resembling flesh [syn: fleshy,
       sarcoid]