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All answers having "Extinguish" as clue:

3 Character Answers:

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PUT



4 Character Answers:

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BLOW

DAMP

KILL



5 Character Answers:

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DOUSE

OUTEN

QUELL

REPAY

SNUFF

STAMP



6 Character Answers:

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MISSUS

PUTOUT

QUENCH

STIFLE



7 Character Answers:

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BLOWOUT



8 Character Answers:

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CRUSHOUT

FLICKOFF

SNUFFOUT

STAMPOUT