Not given heart, it would seem (7)
I believe the answer is:
unloved
'not given heart it would seem' is the definition.
I can't tell whether this defines the answer.
'not given heart it would seem' is the wordplay.
'not' becomes 'un' (prefix meaning 'not').
'given' says to put letters next to each other.
'heart' becomes 'love'.
'it would seem' becomes 'd' (I can't explain this - if you can you should give a lot more credence to this answer).
'un'+'love'+'d'='UNLOVED'
Can you help me to learn more?
(Other definitions for unloved that I've seen before include "Regarded with affection by no one" , "Liked greatly by nobody" , "Not cared for" .)