Unfeeling head suggests one's a fool (9)
I believe the answer is:
numbskull
'a fool' is the definition.
(I've seen this before)
'unfeeling head' is the wordplay.
'unfeeling' becomes 'numb' (synonyms).
'head' becomes 'skull' (I've seen this before).
'numb'+'skull'='NUMBSKULL'
'suggests one's' acts as a link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for numbskull that I've seen before include "Idiot" , "Dimwit" , "Blockhead, bonehead" , "of limited intelligence" , "Fool" .)