Letter from Greece put in container for Asian (7)
I believe the answer is:
tibetan
'for asian' is the definition.
(Tibet is in Asia)
'letter from greece put in container' is the wordplay.
'letter from greece' becomes 'beta' (letter from the Greek alphabet).
'put in' indicates putting letters inside.
'container' becomes 'tin' (tin is a kind of container).
'beta' placed into 'tin' is 'TIBETAN'.
(Other definitions for tibetan that I've seen before include "From Lhasa, perhaps" , "Himalayan language" , "Nationality of citizen of Lhasa, before Chinese invasion" , "Asian" , "Nationality of the Dalai Lama" .)