New star of design and music (4)
I believe the answer is:
arts
'design and music' is the definition.
'new star' is the wordplay.
'new' indicates anagramming the letters.
'star' anagrammed gives 'ARTS'.
'of' acts as a link.
(Other definitions for arts that I've seen before include "Anagram of 19" , "Drawing, painting, etc" , "Products of human creativity" , "Creative activities such as painting and music." , "Poetry, music, painting etc." .)