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All answers having "Graze" as clue:

3 Character Answers:

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EAT



4 Character Answers:

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CROP

FEED

KISS

NOSH

SIDE

SKIM



5 Character Answers:

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BRUSH

SHAVE



6 Character Answers:

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BROWSE

FORAGE

SCRAPE



7 Character Answers:

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PASTURE