To have a reputation for something means to be known or remembered for it.
例句
Alice Munro has a reputation for being a very depressing writer.艾丽斯·芒罗以文风沉郁闻名。...Barcelona's reputation as a design-conscious, artistic city.巴塞罗那作为一个具有设计意识的艺术城市的声誉
N-COUNT
好名誉;名望
Something's or someone's reputation is the opinion that people have about how good they are. If they have a good reputation, people think they are good.
例句
This college has a good academic reputation...这所大学有良好的学术声誉。The stories ruined his reputation.这些传闻把他的名誉全毁了。
PHRASE
听说;耳闻
If you know someone by reputation, you have never met them but you have heard of their reputation.
例句
She was by reputation a good organiser.听说她的组织能力很强。