Move abroad, developing ragtime (7)
I believe the answer is:
migrate
'move abroad' is the definition.
'developing ragtime' is the wordplay.
'developing' indicates anagramming the letters.
'ragtime' anagrammed gives 'MIGRATE'.
(Other definitions for migrate that I've seen before include "Move to a new area" , "Move from one country to another to settle" , "Ragtime (anag)" , "Change habitat (seasonally, perhaps)" , "move base?" .)