Very desirous to get article out of the country (6)
I believe the answer is:
hungry
'very desirous' is the definition.
(to be hungry for something is to desire it)
'article out of the country' is the wordplay.
'article' becomes 'a' (the indefinite article in English).
'out of' is a deletion indicator.
'the country' becomes 'hungary' (Hungary is an example).
'hungary' with 'a' taken away is 'HUNGRY'.
'to get' acts as a link.
(Other definitions for hungry that I've seen before include "Needing food" , "hoping for a bite?" , "Wanting fare" , "not satisfied" , "Craving food" .)