When someone "makes a name" for themselves, they become famous or respected for their accomplishments. Other synonyms for this phrase include "builds a reputation", "establishes a legacy", "earns recognition", "gains renown", "promotes themselves", and "creates an identity". People who make a name for themselves often leave a lasting impression on their field or community. Some may do so through hard work, dedication, and innovation in their profession, while others may gain notoriety through controversy or scandal. Whatever the case may be, making a name for oneself requires effort, determination, and often some degree of risk-taking.