Disengaged response, with dislike greatly reduced (8)
I believe the answer is:
whatever
'disengaged response' is the definition.
I know nothing about this answer so I can't judge whether this works.
'with dislike greatly reduced' is the wordplay.
'with' becomes 'w' (abbreviation).
'dislike' becomes 'hate' (to hate is to dislike strongly).
'greatly' becomes 'very'.
'reduced' means to remove the last letter.
'very' with its final letter taken off is 'ver'.
'w'+'hate'+'ver'='WHATEVER'
Can you help me to learn more?
(Other definitions for whatever that I've seen before include "The waver? (anag)" , "Of any kind at all" , "Anything; at all" , "Off the wall" .)