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Phrase(s): look to one’s laurels
Fig. to take care not to lower or diminish one’s reputation or position, especially in relation to that of someone else potentially better. • With the arrival of the new member of the football team, James will have to look to his laurels to remain as the highest scorer. • The older members of the team will have to look to their laurels when the new players arrive.
McGrawhill's American Idioms And Phrasal Verbs