He dreads being mistaken for people like Prince Harry (8)
I believe the answer is:
redheads
'people like prince harry' is the definition.
'he dreads being mistaken' is the wordplay.
'being mistaken' indicates anagramming the letters.
'he'+'dreads'='hedreads'
'hedreads' with letters rearranged gives 'REDHEADS'.
'for' acts as a link.
(Other definitions for redheads that I've seen before include "ducks" , "ginger group" .)