Play the part of Obama spurning soldiers with quick reply (8)
I believe the answer is:
comeback
'reply' is the definition.
(comeback is a kind of reply)
'play the part of obama spurning soldiers with quick' is the wordplay.
I cannot really understand how this works, but
'part' could be 'back' (back is a kind of part) and 'back' is found within the answer.
'of' could be 'o' and 'o' is located in the answer.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for comeback that I've seen before include "rejoinder" , "return appearance" , "Revival" , "Make a . . . . . . . . - return to the fray" , "Make a . . . . . . . . - return to competitive sport" .)