The 22nd Amendment limits only who can be elected to the office of President. Since a VP becomes President through devolution, not election, it doesn't limit who may serve as VP.
That being said, I'm not sure either if the restriction in the parent exists.
Edit: a reference I found afterwards https://en.wikipedia.org/wiki/Term_of_office#Federal
For example, if Gerald Ford had been elected president after he finished Nixon's term, he would be ineligible to be elected a second time, since he initially served for a little over two years and five months.
That doesn't change the fact that the 22nd Amendment only restricts the election of a president. If someone has already served in the office for ten years, they could still be the VP who upon whom the presidency devolves, because there is no constitutional restriction on such eligibility.
So it would be constitutional to give Obama a third term through a Putin-esque sham where Biden runs at the top of the ticket then immediately resigns after taking office?
There are things everyone agrees about, but for everything else, constitutionality isn't really established until it's been enacted and then ruled on by the Supreme Court.
Would the Supreme Court allow such a move to stand? It's possible, especially without clear evidence that the campaign and resignation was planned and executed specifically to circumvent the 22nd Amendment.
Article II, Section 1, Clause 5 discusses who "shall be eligible to the Office of President". AOC doesn't meet the requirement of being 35 years old, which means she's not eligible in the first place.
But the 22nd Amendment refers to who "shall be elected to the office of the President". That's not the same thing.
Sorry to follow up with a second comment; it's too late to edit my original.
[Edit: Though I don't think that's what Hongwei meant...]
Elizabeth Warren, Kamala Harris, Gretchen Whitmer, or Tammy Baldwin seem like reasonable guesses.
Warren would have to re-assert her native American ancestry.