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All answers having "Quarters" as clue:

3 Character Answers:

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INN



4 Character Answers:

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DIGS

FTHS



5 Character Answers:

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ABODE

AREAS

COINS

HOMES

ROOMS



6 Character Answers:

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ABODES

BILLET

CHANGE

NABBED

PHASES



7 Character Answers:

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BILLETS

FOURTHS

HOUSING

INCLOSE

PERIODS

SECTORS

SHELTER



8 Character Answers:

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BARRACKS



9 Character Answers:

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RESIDENCE



10 Character Answers:

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RESIDENCES