Keen to have first of automobiles taken out of country (6)
I believe the answer is:
hungry
'keen' is the definition.
(hungry can mean eager or keen)
'first of automobiles taken out of country' is the wordplay.
'first of automobiles' becomes 'a' (1st letter of 'automobiles').
'taken out of' indicates named letters should be taken away.
'country' becomes 'hungary' (Hungary is an example).
'hungary' with 'a' taken out is 'HUNGRY'.
'to have' is the link.
(Other definitions for hungry that I've seen before include "In need of nourishment" , "Keen" , "Wanting fare" , "Requiring food" , "Infertile" .)