Award given Greek worker, perhaps (5)
I believe the answer is:
grant
'award' is the definition.
('grant' can be a synonym of 'award')
'greek worker perhaps' is the wordplay.
'greek' becomes 'gr'.
'worker perhaps' becomes 'ant' (worker is a type of ant).
'gr'+'ant'='GRANT'
'given' is the link.
(Other definitions for grant that I've seen before include "former president" , "Make" , "Give or allow as a privilege" , "19th century president" , "Confer" .)