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All answers having "Next" as clue:

3 Character Answers:

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POI



4 Character Answers:

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EXIT

THEN

WHOS



5 Character Answers:

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AFTER

NEIST

ONTAP

TEXAN

YOURE



6 Character Answers:

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LATTER

ONDECK



7 Character Answers:

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ANDTHEN

NEAREST

SOONEST



8 Character Answers:

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ADJACENT

BATTERUP

COMINGUP

SECONDLY

YOURTURN



9 Character Answers:

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DRUGSTORE



11 Character Answers:

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SPIDERPLANT



12 Character Answers:

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ICECREAMCALL