Asian pop artist overcome by narcotic (7)
I believe the answer is:
bhangra
'asian pop' is the definition.
'bhangra' can be an answer for 'pop' (I have seen 'Punjabi pop' mean 'bhangra' so perhaps 'pop' could also mean 'bhangra'). I'm not certain of the 'asian' bit.
'artist overcome by narcotic' is the wordplay.
'artist' becomes 'RA' (Royal Academician, member of Royal Academy of Arts).
'overcome by' means one lot of letters go next to another (in a down clue, some letters go over others).
'narcotic' becomes 'bhang' (bhang is a kind of narcotic).
'ra' put after 'bhang' is 'BHANGRA'.
Can you help me to learn more?
(Other definitions for bhangra that I've seen before include "Punjabi pop" , "music" .)