Scorer, hairy lips and bust (5)
I believe the answer is:
haydn
'scorer' is the definition.
(Haydn is an example)
'hairy lips and bust' is the wordplay.
'lips' suggests removing the centre (only the edges or lips of the word).
'bust' is an anagram indicator.
'hairy' with its centre taken out is 'hy'.
'hy'+'and'='hyand'
'hyand' is an anagram of 'HAYDN'.
(Other definitions for haydn that I've seen before include "Creation composer" , "Austrian composer, d.1809" , "Composer of over 100 symphonies" , "Barman" , "Esterhazy composer" .)