Diana's game show (7)
I believe the answer is:
display
'show' is the definition.
(display can mean to show or expose)
'diana's game' is the wordplay.
'diana' becomes 'Di' (Di is short for Diana).
'game' becomes 'splay' (I can't justify this - if you can you should give a lot more credence to this answer).
'di'+'splay'='DISPLAY'
Can you help me to learn more?
(Other definitions for display that I've seen before include "Exhibition" , "Showcase" , "Put on show" , "Demonstrate, show" , "Show to the public" .)