The Clintons will probably end up like the Kennedys. A dynasty worshiped by people who work for the DNC but largely a piece of history normal people don't think about. She may be able to win a safe congressional seat if she wants it. People will talk about appointing her to things. She'll never run for anything big though because she would just get crushed. Especially once the "first female" gimmick is gone.
Also similar to the Kennedy's in that the progeny (Chelsea) is way, way less talented than her parents