Reckoning for a city nobleman (7)

I believe the answer is:

account

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'reckoning' is the definition.
(I've seen this before)

'a city nobleman' is the wordplay.
'city' becomes 'c' (this might be a standard abbreviation which I don't know about).
'nobleman' becomes 'count' (count is a type of aristocrat).
'a'+'c'+'count'='ACCOUNT'

'for' is the link.

Can you help me to learn more?

(Other definitions for account that I've seen before include "Bill; importance" , "Narrative or invoice" , "Financial statement" , "Explanation of conduct" , "Financial record; narrative" .)

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