Standing, with no right, for representation (6)
I believe the answer is:
statue
'representation' is the definition.
(I have seen 'Carved representation ' mean 'statue' so perhaps 'representation' could also mean 'statue')
'standing with no right' is the wordplay.
'standing' becomes 'stature' (stature is a kind of standing).
'with no' indicates named letters should be taken away.
'right' becomes 'r' (common abbreviation).
'stature' with 'r' taken out is 'STATUE'.
'for' acts as a link.
(Other definitions for statue that I've seen before include "Solid carved or cast image" , "One representing liberty" , "Sculpture of person or animal" , "Noble's rank or dignity" , "Life sculpture" .)