We found one dictionary that defines the word quick on one's feet:

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1. quick on one's feet: Wiktionary

Definitions from Wiktionary (quick on one's feet) ▸ adjective:  (idiomatic) sharp-witted. ▸ Words similar to quick on one's feet ▸ Usage examples for quick on one's feet ▸ Idioms related to quick on one's feet ▸ Wikipedia articles (New!) ▸ Popular nouns described by quick on one's feet ▸ Words that often appear near quick on one's feet ▸ Rhymes of quick on one's feet ▸ Invented words related to quick on one's feet