Good looking American robber (6)
I believe the answer is:
bonnie
This clue is a double definition.
'good looking' is the first definition.
(bonnie means pretty or good-looking)
'american robber' is the second definition.
(as in Bonnie and Clyde)
(Other definitions for bonnie that I've seen before include "attractive to northerners" , "Pretty" , "- - Prince Charlie" , "One of two gangsters" , "The Young Pretender" .)