One fellow doesn't finish another, being noble (9)
I believe the answer is:
patrician
'being noble' is the definition.
('patrician' can be similar in meaning to 'noble')
'one fellow doesn't finish another' is the wordplay.
I cannot really see how this works, but
'one' could be 'an' (an apple is one apple) and 'an' is present in the answer.
'fellow' could be 'pat' (Pat can be a man's name) and 'pat' is found within the answer.
'another' could be 'r' (I've seen this in other clues) and 'r' is found in the answer.
The remaining letters 'ici' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for patrician that I've seen before include "noble Roman" , "Upper-class" , "belonging to the aristocracy" , "Aristocrat, nobleman" , "Perhaps senator <" .)