Report offered by a cold nobleman (7)
I believe the answer is:
account
'report' is the definition.
('account' can be a synonym of 'report')
'a cold nobleman' is the wordplay.
'a cold' becomes 'ac' (I've seen this in other clues).
'nobleman' becomes 'count' (count is a kind of nobleman).
'ac'+'count'='ACCOUNT'
'offered by' is the link.
(Other definitions for account that I've seen before include "Profitable to turn to this" , "Story; bank service" , "Record of an event" , "Record of receipts and expenditure" , "credit arrangement" .)