OBAMA CAN BE A VICE PRESIDENT 8 MORE YEARS
The Twenty-Second Amendment says a person can only be elected to be president two times for a total of eight years. It does make it possible for a person to serve up to ten years as president. This can happen if a person (most likely the Vice-President) takes over for a president who can no longer serve their term.
Because former president Obama has done 8 years he can do two more as a president but 8 more as a vice president.