Having washed all over, greeting American (7)
I believe the answer is:
chilean
'american' is the definition.
(Chilean is an example)
I don't understand the rest of the clue.
(Other definitions for chilean that I've seen before include "Nationality of citizen of Santiago" , "foreign character" , "From Santiago, say?" , "from South American country" , "From e.g. Valparaiso" .)