The divestment game? (5,5)
I believe the answer is:
strip poker
'the divestment game?' is the definition.
'strip poker' can be an answer for 'game?' (strip poker is a kind of game). I'm not certain of the 'the divestment' bit.
'divestment game?' is the wordplay.
'divestment' becomes 'strip' (I can't explain this - if you can you should give a lot more credence to this answer).
'game?' becomes 'poker' (poker game is a kind of game).
'strip'+'poker'='STRIP-POKER'
Can you help me to learn more?
(Another definition for strip poker that I've seen is " Revealing game".)