Mike's conscious about refined feelings (9)
I believe the answer is:
sentiment
'refined feelings' is the definition.
(sentiment can mean refined or profound feelings)
'mike's conscious about' is the wordplay.
'mike' becomes 'M' (phonetic alphabet: alpha, bravo, charlie etc.).
'conscious' becomes 'sentient' (similar in meaning).
'about' is an insertion indicator.
'm' inserted within 'sentient' is 'SENTIMENT'.
(Other definitions for sentiment that I've seen before include "Mawkishness" , "Emotional thought" , "Emotion, self-indulgent or insincere perhaps" , "Tender or romantic emotion" , "View, opinion, feeling" .)