We found one dictionary that defines the word cut one's lucky:

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1. cut one's lucky: Wiktionary

Definitions from Wiktionary (cut one's lucky) ▸ verb:  (slang) To leave in a hurry; to bolt. ▸ Words similar to cut one's lucky ▸ Usage examples for cut one's lucky ▸ Idioms related to cut one's lucky ▸ Wikipedia articles (New!) ▸ Words that often appear near cut one's lucky ▸ Rhymes of cut one's lucky ▸ Invented words related to cut one's lucky