He was convicted of drug-smuggling four years ago and has been trying to clear his name ever since.
clear (one's) name
To exonerate oneself or another of a criminal charge or allegation of wrongdoing. I was only accused of that crime because I look like the perpetrator, so I was able to clear my name.Good luck trying to clear your name once people think you've done something wrong.
clear someone's name
to prove that someone is not guilty of a crime or misdeed. (See also someone of something">clear someone of something.) I was accused of theft, but the real thief confessed and I cleared my name.