Celebrity giving eastern servant a rise (4)
I believe the answer is:
name
'celebrity' is the definition.
(thesaurus)
'giving eastern servant a rise' is the wordplay.
'giving' says to put letters next to each other.
'eastern' becomes 'e'.
'servant' becomes 'man' (man is a kind of servant).
'a rise' is a reversal indicator.
'e' put next to 'man' is 'eman'.
'eman' written backwards gives 'NAME'.
(Other definitions for name that I've seen before include "By which one is known" , "Baptise" , "Amen (anag)" , "Famous person; reputation" , "By which a person is known" .)