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All answers having "High regard" as clue:

3 Character Answers:

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DIM

TOT



4 Character Answers:

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FAME

HATE



5 Character Answers:

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IDEAL

LADLE



6 Character Answers:

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ESTEEM



7 Character Answers:

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BLUETIT

IGNORED

MONARCH



9 Character Answers:

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MALLEABLE



10 Character Answers:

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ADMIRATION



11 Character Answers:

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CARTOGRAPHY



12 Character Answers:

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SHOTINTHEARM