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All answers having "Carroll character" as clue:

3 Character Answers:

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ALI



4 Character Answers:

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HARE



5 Character Answers:

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ALICE

SNARK



6 Character Answers:

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HATTER



11 Character Answers:

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JABBERWOCKY

WHITEKNIGHT

WHITERABBIT



12 Character Answers:

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THEMARCHHARE