Unemotional Clinton not turned away by one state (8)
I believe the answer is:
clinical
'unemotional' is the definition.
(synonyms)
'away by one state' is the wordplay.
'away by' becomes 'clin' (I am not sure about this - if you are sure you should believe this answer much more).
'one' becomes 'i' (Roman numeral).
'state' becomes 'cal' (short for California).
'clin'+'i'+'cal'='CLINICAL'
'clinton not turned' is the link.
This may not be right. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for clinical that I've seen before include "cold?" , "Unemotional, cool and detached - in hospital ?" , "Based on observed signs or symptoms" , "Relating to medical treatment - detached" , "Coldly efficient" .)