One hears adroit university broadcast (7)
I believe the answer is:
auditor
'one hears' is the definition.
(a person who hears is an auditor)
'adroit university broadcast' is the wordplay.
'university' becomes 'u' (abbreviation for university).
'broadcast' indicates an anagram.
'adroit'+'u'='adroitu'
'adroitu' anagrammed gives 'AUDITOR'.
(Other definitions for auditor that I've seen before include "One qualified to check accounts" , "He checks the account books annually" , "Business accountant" , "Accounts verifier" , "Accounts inspector" .)