Bird, iconic identifier of Liverpool, on top of edifice (3,4)

'top of edifice' is the definition.
I don't know anything about this answer so I cannot judge whether this works.

'bird iconic identifier of liverpool on' is the wordplay.
I cannot really see how this works, but
'bird' could be 'kite' (kite is a kind of bird) and 'kite' is found within the answer.
'on' could be 're' (regarding) and 're' is found within the answer.
A single letter 'd' remains which might be clued in a way I don't understand.
This explanation may well be incorrect...

Can you help me to learn more?