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All answers having "Snag" as clue:

3 Character Answers:

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GET

NAB

NET



4 Character Answers:

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DRAW

GRAB

KNOT

ROPE

TEAR



5 Character Answers:

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CATCH

HITCH

IMPLY



6 Character Answers:

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ENTRAP

GLITCH

HANGUP

MISHAP

ROPEIN



7 Character Answers:

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CAPTURE

EXPUNGE

PROBLEM



8 Character Answers:

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DRAWBACK

OBSTACLE