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All answers having "Big shot" as clue:

3 Character Answers:

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RHO

VIP



4 Character Answers:

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BELT

LION

NAME

ONER

PRES

STAR

TSAR



5 Character Answers:

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CELEB

MOGUL

NABOB

TITAN

WHEEL



6 Character Answers:

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CHEESE

FATCAT

HONCHO

KAHUNA



7 Character Answers:

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VACCINE



8 Character Answers:

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SOMEBODY



10 Character Answers:

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GROUPPHOTO

HEADHONCHO



13 Character Answers:

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COCKOFTHEWALK

HIGHMUCKAMUCK



15 Character Answers:

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GRANDPANJANDRUM