Win quiet revolution with trouble (7)
I believe the answer is:
prevail
'win' is the definition.
(I know that prevail is a type of win)
'quiet revolution with trouble' is the wordplay.
'quiet' becomes 'p' (music symbol for 'piano', ie soft or quiet).
'revolution' becomes 'rev' (abbreviation).
'with' says to put letters next to each other.
'trouble' becomes 'ail' (synonyms).
'p'+'rev'+'ail'='PREVAIL'
(Other definitions for prevail that I've seen before include "get the upper hand" , "Triumph, overcome" , "Exist generally" , "Gain mastery" , "Be widespread; prove superior" .)