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All answers having "Current" as clue:

3 Character Answers:

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HIP

MOD

NEW

NOW

RHO



4 Character Answers:

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EDDY

FLOW

RIFE

TIDE

UPON

WIND



5 Character Answers:

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DRAFT

GOING

INUSE

TREND



6 Character Answers:

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EVENTS

EXTANT

LATEST

MODERN

PAIDUP

RECENT

STREAM

TODAYS



7 Character Answers:

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ONGOING

POPULAR

PRESENT

TOPICAL

UNDERGO

UPDATED



8 Character Answers:

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BUZZWORD

EXISTENT

EXISTING

UPTODATE



10 Character Answers:

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PRESENTDAY



13 Character Answers:

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UPTOTHEMINUTE