We found one dictionary that defines the word collect one's wits:

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1. collect one's wits: Wiktionary

Definitions from Wiktionary (collect one's wits) ▸ verb:  Synonym of collect one's thoughts ▸ Words similar to collect one's wits ▸ Usage examples for collect one's wits ▸ Idioms related to collect one's wits ▸ Wikipedia articles (New!) ▸ Words that often appear near collect one's wits ▸ Rhymes of collect one's wits ▸ Invented words related to collect one's wits