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' says to put letters next to each other.
'change' is an anagram indicator.
'resist' with letters rearranged 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)" .)