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All answers having "Picked up" as clue:

3 Character Answers:

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GOT



4 Character Answers:

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ORES

ROSE

TOOK



5 Character Answers:

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HEARD



6 Character Answers:

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ESPIED

GAINED

LEARNT

LIFTED

NABBED

SENSED

TIDIED



7 Character Answers:

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CHEERED

CLEANED

GLEANED

LEARNED

RESUMED

SPEARED



8 Character Answers:

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NEATENED



9 Character Answers:

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OVERHEARD