The 22nd Amendment to the U.S. Constitution does restrict a sitting president to two terms in office. But it doesn't say anything about preventing such a person from running for vice president.
The 12th Amendment states that anyone who is eligible for the presidency under Article II is eligible for the vice presidency. As a natural-born American older than 35, Bill Clinton qualifies, and there's nothing in the 22nd Amendment to disqualify him based on his years as president.
How about the last sentence of the 12th Amendment?
But no person constitutionally ineligible to the office of President shall be eligible to that of Vice-President of the United States.
Bill Clinton is constitutionally ineligible to the office of President. Therefore he's ineligible for Vice-President, you nitwit.
Let's make a deal. You stop bothering us with your Bill Clinton fantasies, and we won't tell you to elect Terrence and Philip prime minister.