вернуть честное имя(clear oneself. Definition of clear oneself: to prove that one is innocent: He says he's innocent and he wants an opportunity to clear himself; She welcomed the opportunity to clear her name and provide answers to all the accusations.merriam-webster.comDominator_Salvator)
прославиться(British theatre designer James McCorkindale made his name working in Paris at the famed Folies-Bergère cabaret. – прославилсяART Vancouver)
на дружеской ноге(He's on first name terms with the president. • Jim has been in the company for many years, and is on first-name terms with many of the board directors.4uzhoj)
в своём послужном списке(The PBS’ drama ran for six seasons and is the most-nominated non-U.S. show in Emmy history, with 69 nominations and 15 wins to its name. kozelski)