cozy up cozy up {v.}, {slang} To try to be close or friendly; try to be liked. — Usually used with "to". John is cozying up to Henry so he can join the club. Categories: add yours {slang} {v.} Source: A Dictionary of American Idioms by A. Makkai, M.T. Boatner, J.E. Gates © 2024 To section: C Subscribe to: American IdiomsIdioms feedEnglish languageHome page and general feed Discuss