Insensitive, a singer working intensely (4,2,2)
I believe the answer is:
hard at it
'working intensely' is the definition.
'insensitive a singer' is the wordplay.
'insensitive' becomes 'hard' (associated in meaning).
'singer' becomes 'tit' (type of songbird).
'hard'+'a'+'tit'='HARD AT IT'
(Other definitions for hard at it that I've seen before include "Working very busily" , "Very busy - that raid (anag)" , "Really busy" .)