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All answers having "Close shave!" as clue:

4 Character Answers:

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PHEW



5 Character Answers:

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SCARE



6 Character Answers:

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NARROW

SCRAPE

SQUEAK



7 Character Answers:

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RELAPSE



8 Character Answers:

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KEROSENE

NEARMISS



9 Character Answers:

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NEARTHING



12 Character Answers:

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NARROWESCAPE

NARROWSQUEAK