Ordinary Greek character essentially incensing continental fellow (7)
I believe the answer is:
mundane
'ordinary' is the definition.
(similar in meaning)
'greek character essentially incensing continental fellow' is the wordplay.
'greek character' becomes 'mu' (letter from the Greek alphabet).
'essentially' says to take the centre.
'continental fellow' becomes 'dane' (I can't explain this - if you can you should believe this answer much more).
The middle letter of 'incensing' is 'n'.
'mu'+'n'+'dane'='MUNDANE'
Can you help me to learn more?
(Other definitions for mundane that I've seen before include "Drab" , "Everyday, humdrum" , "Banal; earthly" , "Worldly, perhaps dull" , "Boring" .)