I leave the air terminal with a Russian (4)
I believe the answer is:
igor
'russian' is the definition.
(I've seen this before)
'i leave the air terminal' is the wordplay.
'leave' becomes 'go' (to go is to depart or leave).
'terminal' says to take the final letters (terminal refers to the end).
The last letter of 'air' is 'r'.
'i'+'go'+'r'='IGOR'
'with a' is the link.
(Other definitions for igor that I've seen before include "-- Stravinsky, composer" , "Stravinsky, perhaps" , "Prince of grand opera" , "Prince --, opera by Borodin" , "Stravinsky, for example" .)