Say no more — extremely elite name brings lustre! (5)
I believe the answer is:
sheen
'lustre' is the definition.
(synonyms)
'say no more extremely elite name' is the wordplay.
'say no more' becomes 'sh' ('sh' means stop talking).
'extremely' means to remove the middle letters (only the extremes of the word are used).
'name' becomes 'n' (common abbreviation e.g. on forms).
'elite' with its centre taken out is 'ee'.
'sh'+'ee'+'n'='SHEEN'
'brings' is the link.
(Other definitions for sheen that I've seen before include "splendid clothing" , "actor?" , "Polish" , "Surface gloss" , "to the west of Putney" .)