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All answers having "Zippo" as clue:

3 Character Answers:

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NIL



4 Character Answers:

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NADA

NONE

ZERO



5 Character Answers:

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SQUAT

ZILCH



6 Character Answers:

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NOTONE



7 Character Answers:

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LIGHTER

NOTAONE



10 Character Answers:

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NOTONEIOTA