Aspired to become an excellent medium (5)
I believe the answer is:
aimed
'aspired' is the definition.
('aim' can be a synonym of 'aspire')
'an excellent medium' is the wordplay.
'an excellent' becomes 'ai'.
'medium' becomes 'med' (I can't justify this - if you can you should give a lot more credence to this answer).
'ai'+'med'='AIMED'
'to become' is the link.
Can you help me to learn more?
(Other definitions for aimed that I've seen before include "Focused on as target" , "Directed, targeted" , "Set sights on for a dime" , "Directed towards specified goal" , "Planned, intended to try" .)