Artist, popular, brings bad weather (4)
I believe the answer is:
rain
'bad weather' is the definition.
(rain is an example of bad weather)
'artist popular' is the wordplay.
'artist' becomes 'RA' (Royal Academician, member of Royal Academy of Arts).
'popular' becomes 'in' ('in' can mean trendy).
'ra'+'in'='RAIN'
'brings' is the link.
(Other definitions for rain that I've seen before include "Fall wetly" , "Fall in large quantities" , "Precipitation" , "previous rule?" , "downfall?" .)