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.
      [1913 Webster]

   2. To feed on; to eat (growing herbage); to eat grass from (a
      pasture); to browse.
      [1913 Webster]

            The lambs with wolves shall graze the verdant mead.
                                                  --Pope.
      [1913 Webster]

   3. To tend (cattle, etc.) while grazing.
      [1913 Webster]

            When Jacob grazed his uncle Laban's sheep. --Shak.
      [1913 Webster]

   4. To rub or touch lightly the surface of (a thing) in
      passing; as, the bullet grazed the wall.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Grazing \Graz"ing\, n.
   1. The act of one who, or that which, grazes.
      [1913 Webster]

   2. A pasture; growing grass.
      [1913 Webster]

WordNet (r) 3.0 (2006):

grazing
    n 1: the act of grazing [syn: graze, grazing]
    2: the act of brushing against while passing [syn: grazing,
       shaving, skimming]

Moby Thesaurus II by Grady Ward, 1.0:

138 Moby Thesaurus words for "grazing":
   ablation, abrasion, abrasive, animal husbandry, animal rearing,
   appetite, attrition, bee culture, beekeeping, breeding, brushing,
   buffing, burnishing, campo, cannibalism, carnivorism, carnivority,
   carnivorousness, cattle-ranching, chafe, chafing, chewing,
   chicken-farming, consumption, contacting, contingent, cropping,
   dairy-farming, deglutition, detrition, devouring, devourment,
   dieting, dining, dressage, dressing, eating, epulation, erasure,
   erosion, feasting, feeding, filing, fretting, galling, glancing,
   gluttony, gnotobiotics, gobbling, grass, grass veld, grassland,
   grinding, haugh, haughland, herbivorism, herbivority,
   herbivorousness, herding, horse training, horsemanship, hunger,
   impingent, impinging, in contact, ingestion, lea, licking,
   limation, llano, manducation, mastication, mead, meadow,
   meadow land, meeting, messing, mink-ranching, munching, nibbling,
   nudging, nutrition, omnivorism, omnivorousness, omophagy,
   osculatory, pampa, pampas, pantophagy, park, pasturage, pasture,
   pasture land, pasturing, pecking, pig-keeping, polishing, prairie,
   range, rasping, regalement, relishing, rubbing, rubbing away,
   rumination, sandblasting, sanding, savanna, savoring, scouring,
   scrape, scraping, scratch, scratching, scrub, scrubbing, scuff,
   sheepherding, shining, smoothing, steppe, steppeland,
   stock raising, stockbreeding, swale, tangent, tangential, tasting,
   thremmatology, touching, vega, vegetarianism, veld, wear,
   wearing away, wolfing, zootechnics, zootechny