Definition of graze:
the act of grazing
; a touching or rubbing lightly on passing; a light touch
; a slight scratch
to feed or supply (cattle, sheep, etc.) with grass; to furnish pasture for; to feed on; to eat (growing herbage); to eat grass from (a pasture); to browse
"1999: Although it is perfectly good meadowland, none of the villagers has ever grazed animals on the meadow on the other side of the wall. — Stardust, Neil Gaiman, page 4 (2001 Perennial Edition)."