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All answers having "Conservative" as clue:

4 Character Answers:

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TORY



5 Character Answers:

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RIGHT

STAID



6 Character Answers:

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FISCAL

HUNKER



7 Character Answers:

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EARDRUM

EVENTER

GALLEON

OLDLINE



8 Character Answers:

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RIGHTIST



9 Character Answers:

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RIGHTWING



15 Character Answers:

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MIDDLEOFTHEROAD