The phrase "a small reputation" is correct and usable in written English.
It can be used to describe someone or something that is known or recognized to a limited extent, often implying a lack of significant influence or prominence.
Example: "Despite his talent, he only had a small reputation in the industry, overshadowed by more established figures."
Alternatives: "a modest reputation" or "a limited reputation."
"Because I have a small reputation abroad, I have to say these things.
The Mets have earned a small reputation this season for stirring comebacks and key hits with two outs.
It is not certain when he began to write verse, but by the time of the caliph al-Muʿtaṣim (reigned 833 842) he had established a small reputation.
He had already built a small reputation for his first feature, the experimental sociopolitical comedy "Three Sad Tigers," which won the top prize at the Locarno International Film Festival in 1969.
By the time his first full-length play, Beyond the Horizon, was produced on Broadway, Feb. 2, 1920, at the Morosco Theater, the young playwright already had a small reputation.
Nearly half a century ago, when Elvis Presley was filming "Harum Scarum" and "Help!" was on the charts, a moody, father-haunted, yet uncannily charismatic Shore rat named Bruce Springsteen was building a small reputation around central Jersey as a guitar player in a band called the Castiles.
Kees Bakels, 52, its music director, has a good but small reputation in Britain, Canada and his native Netherlands.Native Malaysian players are sure to be rare.
When they married, she was, at thirty-seven, a well-paid editor with many responsibilities, both personal and professional, and he was, at thirty, a writer of still small reputation who had never been married; when it came to romantic entanglements, he desired the romance but dreaded the entanglement.
As a renowned writer and lecturer on music who was also a concert pianist of no small reputation, Mr. Rosen was among the last exemplars of a figure more typically associated with the 19th century: the international scholar-musician.
The production was directed by John Lithgow (Harvard '67), who went on to no small reputation as an actor, and conducted by John Adams (Harvard '71), who would compose "Nixon in China," among other operas.
She died in the thirties, her own small reputation resting on a book about wolfhounds.
