Liking to give off quiet charm (7)
I believe the answer is:
enchant
'charm' is the definition.
(enchanting is a kind of charming)
'liking to give off quiet' is the wordplay.
'liking' becomes 'penchant' (penchant is a kind of liking).
'to give off' is a deletion indicator.
'quiet' becomes 'p' (music symbol for 'piano').
'penchant' with 'p' removed is 'ENCHANT'.
(Other definitions for enchant that I've seen before include "Bewitch, charm" , "Delight, cast spell over" , "Fascinate - delight" , "Appeal" , "Delight, charm" .)