claim to fame
That for which one has bragging rights; one’s reason for being well-known or famous.
Her only claim to fame is being married to a socialite.
noun
Something said or reported; gossip, rumour.
There went a fame in Heav'n that he ere long / Intended to create, and therein plant / A generation, whom his choice regard / Should favour […].
If the accused could produce a specified number of honest neighbours to swear publicly that the suspicion was unfounded, and if no one else came forward to contradict them convincingly, the charge was dropped: otherwise the common fame was held to be true.
One's reputation.
The state of being famous or well-known and spoken of, especially for something positive.
I find thou art no less than fame hath bruited.
I was about to say that I had known the Celebrity from the time he wore kilts. But I see I will have to amend that, because he was not a celebrity then, nor, indeed, did he achieve fame until some time after I left New York for the West.
verb
to make (someone or something) famous