Purified, yet having faded exterior (9)
I believe the answer is:
distilled
'purified' is the definition.
('distill' can be a synonym of 'purify')
'having faded exterior' is the wordplay.
'having' becomes 'still' (I am not sure about this - if you are sure you should believe this answer much more).
'faded' becomes 'died' (I've seen this before).
'exterior' is an insertion indicator (some letters go on the outside of others).
'still' going within 'died' is 'DISTILLED'.
'yet' is the link.
Can you help me to learn more?
(Other definitions for distilled that I've seen before include "produced whisky" , "Brewed" .)