One who hears and sums up all the accounts (7)
I believe the answer is:
auditor
'one who hears' is the definition.
(I've seen this before)
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for auditor that I've seen before include "Listener; checker" , "One inspects the accounts" , "He checks the account books annually" , "Accountant - listener" , "Person who listens" .)