1) Abrade slightly 2) Abrasion 3) Barely hit 4) Barely nick 5) Barely touch 6) Be put out to pasture 7) Break the skin by scraping 8) Chafe 9) Chew the greenery 10) Dine in a meadow 11) Dine on grass 12) Do some meadow munching 13) Eat from a pasture 14) Eat from the pasture 15) Eat lightly 16) Eat like a cow 1) Browse 2) Cut 3) Eat 4) Grazing 5) Nosh 6) Pasture 7) Rub 8) Scrape 
[Verb] Originally used to mean when animals eat grass. Now often used to mean eating many small meals during the day instead of three main meals.
To eat grasses and other ground-level plants.
Graze (grāz) transitive verb [ imperfect & past participle Grazed (grāzd); present participle & verbal noun Grazing .] [ Middle English grasen , Anglo-Saxon grasian , from græs grass. See Grass...Graze intransitive verb 1. To eat grass; to feed on growing herbage; as, cattle graze on the meadows. 2. To yield grass for grazing. « The ground continueth the wet, whereby it will never graze to purpose.» Bacon. 3. To touch something ligh...Graze noun 1. The act of grazing; the cropping of grass. [ Colloq.] « Turning him out for a graze on the common.» T. Hughes. 2. A light touch; a slight scratch. 
touch or scrape lightly in passing 
Graze is British slang for eating while standing up or working.
[n] - a superficial abrasion 2. [n] - the act of grazing 3. [v] - break the skin (of a body part) by scraping 4. [v] - scrape gently
to eat grasses
verb feed as in a meadow or pasture; `the herd was grazing` noun the act of grazing
The consumption of forage in situ by animals. This verb should be used in the active form with the animal as the subject. The verb should not be used in the passive voice so as to imply that a person is the subject or actor; i.e., cattle graze; people do not graze cattle.