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All answers having "Sway" as clue:

3 Character Answers:

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NOD



4 Character Answers:

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MOVE

PULL

REEL

ROCK

ROLL

RULE

TILT

TOSS



5 Character Answers:

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CLOUT

SAYSO

WEAVE



6 Character Answers:

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AFFECT

CAREEN

EMPIRE

TEETER

TOTTER



7 Character Answers:

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IMPRESS

STAGGER

WINOVER



8 Character Answers:

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FREEREIN

PERSUADE



9 Character Answers:

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INFLUENCE