Commendation for quiet lift (6)
I believe the answer is:
praise
'commendation' is the definition.
(I know that praise is a type of commendation)
'quiet lift' is the wordplay.
'quiet' becomes 'p' (music symbol for 'piano', ie soft or quiet).
'lift' becomes 'raise' (synonyms).
'p'+'raise'='PRAISE'
'for' is the link.
(Other definitions for praise that I've seen before include "Be aware of (something)" , "Express warm approval of (someone/something)" , "Commend or laud" , "Worship, glorify" , "Speak highly of" .)