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All answers having "Quickly!" as clue:

4 Character Answers:

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ASAP

FAST

SOON

STAT



5 Character Answers:

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APACE

SINCE



6 Character Answers:

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ATARUN

ATONCE

INASEC

PRESTO

PRONTO



7 Character Answers:

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ALLEGRO

ATSPEED

HASTILY

HOTFOOT

INAWINK

INBRIEF

INHASTE

LIKEMAD

NIRVANA

RAPIDLY

READILY

SMARTLY



8 Character Answers:

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CHOPCHOP

INAFLASH

INATRICE

INNOTIME



9 Character Answers:

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LIKEASHOT

POSTHASTE



10 Character Answers:

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DONTDAWDLE

INGOODTIME



11 Character Answers:

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ATTHEDOUBLE

ONTHEDOUBLE



12 Character Answers:

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ALLOFASUDDEN

WITHDISPATCH