Continue, on the quiet, to resist change (7)
I believe the answer is:
persist
'continue' is the definition.
(persisting is a kind of continuing)
'the quiet to resist change' is the wordplay.
'the quiet' becomes 'p' (music symbol for 'piano', ie soft or quiet).
'to' is a charade indicator (letters next to each other).
'change' is an anagram indicator.
'resist' anagrammed gives 'ersist'.
'p'+'ersist'='PERSIST'
'on' acts as a link.
(Other definitions for persist that I've seen before include "Continue in spite of resistance" , "Continue obstinately, don't give up" , "Endure" , "Be resolute" , "Stripes (anag)" .)