If she wins, Bill would be expected to be a prominent first gentleman due to his former office, which could make for confusing headlines. A generation later she'll be one of two Former President Clintons. We know that Bill was reasonably popular (reelected, high approval ratings) so it'll be tough for her to be the first Clinton people think of, even with the significance of the milestone of first female President.
Sure, but currently, many journalists for example refer to "President Obama". If HRC becomes prez, surely they'll call her "President Clinton", no?
It's a bit different because Barack Obama is the only President with the last name Obama.
The Clintons are in an unusual place. Bill Clinton would likely be a notable figure in an HRC administration, and he was the only Democratic President for a twenty-eight year stretch from 1981-2008, so he'll be more significant than even the typical former Prez.