Slyly evading Kate's compromise (4,3,4)
I believe the answer is:
give-and-take
'compromise' is the definition.
(giving and take is a kind of compromising)
'slyly evading kate's' is the wordplay.
'slyly' indicates anagramming the letters (I've seen this in other clues).
'evading'+'kate'='evadingkate'
'evadingkate' anagrammed gives 'GIVE-AND-TAKE'.
(Other definitions for give-and-take that I've seen before include "concessions" , "Compromise" .)