English fellow's rising reputation (4)
I believe the answer is:
name
'reputation' is the definition.
(name is a kind of reputation)
'english fellow's rising' is the wordplay.
'english' becomes 'e' (abbreviation).
'fellow' becomes 'man' (I've seen this before**).
'rising' says the letters should be written backwards (going up in a down clue).
'e'+'man'='eman'
'eman' in reverse letter order is 'NAME'.
(Other definitions for name that I've seen before include "Monicker" , "Cite" , "Mean sort of appellation" , "Designation - reputation" , "Call; reputation" .)