President, say, no longer chilled: hard and less fresh (6,6)

I believe the answer is:

office holder

'president say' is the definition.
(a president holds the office of president)

'no longer chilled hard and less fresh' is the wordplay.
'no longer chilled' becomes 'off ice' (as opposed to 'on ice').
'hard' becomes 'h' (abbreviation used in pencil classifications).
'and' means one lot of letters go next to another.
'less fresh' becomes 'older' (less fresh or new).
'office'+'h'+'older'='OFFICE-HOLDER'

I've seen this clue in The Times.

Want a hint initially instead of a full solution? Install my app