Quiet desire to clear out (5)
I believe the answer is:
purge
'clear out' is the definition.
(I've seen this before)
'quiet desire' is the wordplay.
'quiet' becomes 'p' (music symbol for 'piano', ie soft or quiet).
'desire' becomes 'urge' (I've seen this in another clue).
'p'+'urge'='PURGE'
'to' acts as a link.
(Other definitions for purge that I've seen before include "elimination of opponents" , "Elimination of "undesirables"" , "Remove impurities from" , "Cleanse of unwanted elements" , "Liquidate" .)