Minutes wasted mean a gent gets running (10)
I believe the answer is:
management
'running' is the definition.
(thesaurus)
'minutes wasted mean a gent' is the wordplay.
'minutes' becomes 'm'.
'wasted' is an anagram indicator.
'mean'+'a'+'gent'='meanagent'
'meanagent' is an anagram of 'anagement'.
'm'+'anagement'='MANAGEMENT'
'gets' acts as a link.
(Other definitions for management that I've seen before include "Those in control of an organisation" , "board" , "Organisation heads" , "Administration" , "Organisation's runners" .)