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All answers having "Fragment" as clue:

3 Character Answers:

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BIT

END

ORT



4 Character Answers:

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CHIP

DRIB

PART

SNIP

WISP



5 Character Answers:

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AZTEC

CRUMB

PIECE

SCRAP

SHARD

SHORE

SHRED



6 Character Answers:

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MORSEL

SATURN

SIPPET

SLIVER

SNATCH



7 Character Answers:

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ATOMIZE

ODDMENT

REMNANT

SEGMENT

SNIPPET



8 Character Answers:

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SPLINTER



13 Character Answers:

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ALLIGATORPEAR