A man soon rings back to admit love of Zeus (7)
I believe the answer is:
antonio
'a man' is the definition.
'soon rings back to admit love of zeus' is the wordplay.
'soon' becomes 'anon' (synonyms).
'rings' indicates putting letters inside (some letters are ringed or contained by others).
'back to' says to take the final letters.
'love of zeus' becomes 'io' (I can't justify this - if you can you should give a lot more credence to this answer).
The last letter of 'admit' is 't'.
'anon' enclosing 't' is 'anton'.
'anton'+'io'='ANTONIO'
Can you help me to learn more?
(Other definitions for antonio that I've seen before include "A notion about The Merchant of Venice" , "-- Vivaldi, composer" , "Pound of flesh promiser" , "Shakespearean merchant" , "-- Pappano, conductor" .)