If you are assigned to a big enough case, then yeah—you could definitely achieve some degree of fame (or notoriety). Consider Robert Shapiro and Johnnie Cochran, both now household names because of their defense of O.J. Simpson during his murder trial. (We feel bad that you’re too young to have been around for that one. Talk about entertaining television. The glove did not fit so….) Fame can make your career, and it can break it. Depends on how good a job you did when you were being nationally televised, and how seedy the man or woman was that you were defending. You don't really want to become known as the guy who got the clearly lunatic woman off of charges of driving her three kids into a lake.