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All answers having "Impudence" as clue:

3 Character Answers:

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LIP



4 Character Answers:

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GALL

SASS



5 Character Answers:

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BRASS

CHEEK

CRUST

MOUTH

NERVE

SAUCE



6 Character Answers:

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GIGOLO

REMOTE



7 Character Answers:

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SPHERES



8 Character Answers:

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BACKCHAT

CHUTZPAH

PERTNESS



10 Character Answers:

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CHEEKINESS



11 Character Answers:

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MATHEMATICS



13 Character Answers:

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OBJECTIONABLE