Imagine Putin has gotten all the info he wants from Snowden. Once Putin tires of embarrassing Obama, he'll toss Snowden out of Russia.
The real joke is on Snowden. Putin (KBG) is the "king" of the secret police, and, I suspect, finds all of this very amusing. Snowden, as they say, is royally F***ed.
Snowden lucky he's so famous. KGB likes to solve problems with a bullet to the back of the head. Putin doesn't want that kind of publicity. He'll dump Snowden on somebody else.