End of June still cold (11)
I believe the answer is:
emotionless
'cold' is the definition.
(similar in meaning)
'end of june still' is the wordplay.
'end of' suggests the final letters.
'still' becomes 'motionless' (synonyms).
The last letter of 'june' is 'e'.
'e'+'motionless'='EMOTIONLESS'
(Other definitions for emotionless that I've seen before include "lacking passion" , "devoid of passion" , "Without feelings" , "Unmoved by feelings" , "Unfeeling" .)