Lover gives Biblical character away (7)
I believe the answer is:
abelard
'lover' is the definition.
(I have seen 'Lover of Heloise ' mean 'abelard' so perhaps 'lover' could also mean 'abelard')
'biblical character away' is the wordplay.
'biblical character' becomes 'abel' (I've seen this in another clue).
'away' becomes 'ard' (I can't explain this - if you can you should believe this answer much more).
'abel'+'ard'='ABELARD'
'gives' is the link.
Can you help me to learn more?
(Other definitions for abelard that I've seen before include "theologian in France" , "12th century monk" , "Monk who had tragic affair with Heloise" , "French philosopher" , "He loved Heloise" .)