Sure, there’s no 22nd Amendment problem with it. But there are two different 12th Amendment problems with it.
The Electors shall meet in their respective states, and vote by ballot for President and Vice-President, one of whom, at least, shall not be an inhabitant of the same state with themselves…
While this does not technically preclude Hillary Clinton from being President and Bill Clinton from being Vice-President at the same time, it does mean that New York State’s electors, if the state’s voters choose a Hillary Clinton voting slate, (“Clinton carries New York”), can either vote for Hillary to be President or Bill to be Vice-President, but not both. As both are New York State residents. It so needlessly complicates things that this is why the top and bottom of the ticket are from different states; note that before George W. Bush chose Dick Cheney back in 2000, Cheney, who lived in Dallas during the Clinton years for business, changed his residency back to Wyoming, so that he would be a resident of a state not Bush’s and not Texas before election day.
But no person constitutionally ineligible to the office of President shall be eligible to that of Vice-President of the United States.
That is more clear cut and absolute. This was hard wired into the Constitution long before the 22nd Amendment, but the 22nd Amendment being piled on top of that means that once you’ve had all your time as President per the 22nd, you can’t be Vice-President. Because of the one heartbeat away thing. And if Bill was one heartbeat away, you’d know he’d find a way to stop Hillary’s heart; get rid of his wife once and for all, and be President again; for him, that would be a win-win.
Remember, though, I’m talking about two people that really don’t care for the Constitution; the man was a pen-and-phoner before being a pen-and-phoner was cool, and the woman is promising to be even more of one than Baraq Obama currently is.