Delicate and charming, if partially self-indulgent (5)
I believe the answer is:
elfin
'delicate and charming' is the definition.
'partially self-indulgent' is the wordplay.
'partially' indicates the answer is hidden within the clue.
'ELFIN' can be found hidden inside 'self indulgent'.
'if' is the link.
(Other definitions for elfin that I've seen before include "Small and delicate like fairy" , "Small, mischievous and charming" , "Spritely" , "Describing Santa's helpers" , "Delicate, slight" .)