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All answers having "Snookums" as clue:

3 Character Answers:

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HON



4 Character Answers:

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BABY

DEAR



5 Character Answers:

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DEARY

HONEY

SUGAR

TOOTS



6 Character Answers:

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DEARIE

POOKIE



7 Character Answers:

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PETNAME

SWEETIE



8 Character Answers:

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SWEETPEA