The Collaborative International Dictionary of English v.0.48:

Graze \Graze\, n.
   1. The act of grazing; the cropping of grass. [Colloq.]
      [1913 Webster]

            Turning him out for a graze on the common. --T.
                                                  Hughes.
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   2. A light touch; a slight scratch.
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The Collaborative International Dictionary of English v.0.48:

Graze \Graze\ (gr[=a]z), v. t. [imp. & p. p. Grazed
   (gr[=a]zd); p. pr. & vb. n. Grazing.] [OE. grasen, AS.
   grasian, fr. gr[ae]s grass. See Grass.]
   1. To feed or supply (cattle, sheep, etc.) with grass; to
      furnish pasture for.
      [1913 Webster]

            A field or two to graze his cows.     --Swift.
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   2. To feed on; to eat (growing herbage); to eat grass from (a
      pasture); to browse.
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            The lambs with wolves shall graze the verdant mead.
                                                  --Pope.
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   3. To tend (cattle, etc.) while grazing.
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            When Jacob grazed his uncle Laban's sheep. --Shak.
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   4. To rub or touch lightly the surface of (a thing) in
      passing; as, the bullet grazed the wall.
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The Collaborative International Dictionary of English v.0.48:

Graze \Graze\, v. i.
   1. To eat grass; to feed on growing herbage; as, cattle graze
      on the meadows.
      [1913 Webster]

   2. To yield grass for grazing.
      [1913 Webster]

            The ground continueth the wet, whereby it will never
            graze to purpose. --Bacon.
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   3. To touch something lightly in passing.
      [1913 Webster]

WordNet (r) 3.0 (2006):

graze
    n 1: a superficial abrasion
    2: the act of grazing [syn: graze, grazing]
    v 1: feed as in a meadow or pasture; "the herd was grazing"
         [syn: crop, browse, graze, range, pasture]
    2: break the skin (of a body part) by scraping; "She was grazed
       by the stray bullet"
    3: let feed in a field or pasture or meadow [syn: crop,
       graze, pasture]
    4: scrape gently; "graze the skin" [syn: graze, crease,
       rake]
    5: eat lightly, try different dishes; "There was so much food at
       the party that we quickly got sated just by browsing" [syn:
       browse, graze]

Moby Thesaurus II by Grady Ward, 1.0:

128 Moby Thesaurus words for "graze":
   ablate, abrade, abrase, attouchement, bark, batten upon, beak,
   board, bread, breath, browse, bruise, brush, brush by, bunt,
   caress, carom, chafe, chuck, come in contact, contact, contingence,
   contuse, crop, cutaneous sense, dab, dap, dine, erase, erode,
   fatten on, fatten upon, feast on, feast upon, feed, feed on, feel,
   feeling, file, fillip, fingertip caress, flick, flip, flirt,
   fodder, forage, fray, frazzle, fret, gall, glance, gnaw, gnaw away,
   grass, grate, gratify, grind, hand-mindedness, harm, hit, hurt,
   impinge, impingement, impingence, injure, kiss, lambency, lap,
   lick, light touch, live on, meat, mess, nudge, osculate,
   osculation, pasture, pasture on, pat, peck, pick, prey on,
   provision, rap, rasp, raze, regale, ricochet, rub, rub away,
   rub off, rub out, ruffle, satisfy, scour, scrape, scrub, scuff,
   sense of touch, shave, sideswipe, skim, skin, skip, skirt, snap,
   squeak by, stroke, sustain, sweep, tactile sense, taction,
   tangency, tap, tentative contact, tentative poke, tickle, tip,
   touch, touch lightly, touch upon, touching, wear, wear away, whisk,
   whisper, wine and dine, wound