Bribe EU member, we hear (6)
I believe the answer is:
grease
'bribe' is the definition.
(I've seen this before)
'eu member we hear' is the wordplay.
'eu member' becomes 'Greece' (member of European Union).
'we hear' indicates a 'sounds like' (homophone) clue.
'greece' is a homophone of 'GREASE'.
(Other definitions for grease that I've seen before include "Musical that sounds like a country" , "Lubricate - musical" , "A thick oily substance" , "Possible cause of slip-up" , "Lubricating agent" .)