The term 'rest on one's laurels' means to be complacent and not strive for further success. The crossword solutions for this term are 'COAST' (5 letters) and 'sitpat' (6 letters). COAST is a verb meaning to move along the surface of a body of water without using a motor or sail. Sitpat is an acronym for 'situation normal, all things proceeding as expected, ' which implies that someone is content with the status quo and not striving for further success.