Argued about accepting quiet promotion (7)
I believe the answer is:
upgrade
'promotion' is the definition.
(I've seen this before)
'argued about accepting quiet' is the wordplay.
'about' indicates anagramming the letters.
'accepting' indicates putting letters inside.
'quiet' becomes 'p' (music symbol for 'piano').
'argued' anagrammed gives 'ugrade'.
'ugrade' enclosing 'p' is 'UPGRADE'.
(Other definitions for upgrade that I've seen before include "Change to later model" , "Get better software" , "Raise in value or esteem" , "Higher-standard version" , "Raise in status or quality" .)