Like music, North American (7)
I believe the answer is:
alaskan
'american' is the definition.
(I know that Alaskan is a type of american)
'like music north' is the wordplay.
'like' becomes 'a la' ('a la' can mean 'in the way of' in French).
'music' becomes 'ska' (music genre).
'north' becomes 'N' (abbreviation).
'ala'+'ska'+'n'='ALASKAN'
(Other definitions for alaskan that I've seen before include "Person from state that's not so warm" , "Eg, native of Anchorage" , "American statesman?" , "One from Juneau, say" , "Palin, perhaps" .)