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All answers having "Stuck-up" as clue:

4 Character Answers:

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VAIN



6 Character Answers:

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LADIDA

SNOBBY

SNOOTY



7 Character Answers:

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EGOISTC

HAUGHTY



8 Character Answers:

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SNOBBISH



11 Character Answers:

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TOFFEENOSED



13 Character Answers:

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SELFIMPORTANT