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All answers having "Head start?" as clue:

3 Character Answers:

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EGG

RHO



4 Character Answers:

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EDGE

FORE

IDEA

JUMP

LEAD

MAST



5 Character Answers:

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AITCH

SPEAR



6 Character Answers:

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CRANIO



9 Character Answers:

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ADVANTAGE



13 Character Answers:

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SOMELIKEITHOT