Longman Dictionary of Contemporary English - reputable

~ adj respected for being honest or for doing good work  (a very reputable firm) - reputably adv reputation ~ n 1 the opinion that people have about a particular person or thing because of what has happened in the past + for  (a reputation for honesty and efficiency) + as  (She had already begun to establish a reputation as a writer. | a good/bad reputation)  (This restaurant has a very good reputation. | win/earn/establish a reputation as)  (His approach had won him a reputation as a tough manager.) 2 live up to your reputation to behave in the way that people expect  (Martin lived up to his reputation and arrived late.) 3 live up to its reputation to be at least as bad or good as people had thought  (a mountain that lived up to its fearsome reputation)