Famous artist, English, not without heart (7)
I believe the answer is:
eminent
'famous' is the definition.
(thesaurus)
'artist english not without heart' is the wordplay.
'artist' becomes 'emin' (I've seen this in other clues**).
'english' becomes 'e' (abbreviation).
'without heart' means to remove the middle letters.
'not' with its middle taken out is 'nt'.
'emin'+'e'+'nt'='EMINENT'
(Other definitions for eminent that I've seen before include "Lofty; famous" , "Distinguished and admired" , "Exalted in rank" , "Illustrious like cardinal?" , "Respected; notable" .)