Having been hurt, back in love (4)
I believe the answer is:
eros
'in love' is the definition.
(I've seen this before)
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for eros that I've seen before include "Famous statue in Piccadilly, London" , "London landmark" , "Cupid, to the Greeks" , "Winged archer" , "Greek god of sexual love, Cupid to the Romans" .)