The 22nd amendement shown above says no man shall be elected more than 2 terms. But it does'nt say that they can't get in any other way.
If we can put the partisanship aside, its an interesting question.
In that, Bill is ineligible to be President. If Hillary died, then when they pass him over and go to the next person on the succession list?
Or as read, its sounds like he would not be ineligible.