Artist has broken leg on damaged core (2,5)
I believe the answer is:
el greco
'artist' is the definition.
(I've seen this before)
'broken leg on damaged core' is the wordplay.
'broken' indicates anagramming the letters.
'on' is a charade indicator (letters next to each other).
'damaged' indicates an anagram.
'leg' anagrammed gives 'elg'.
'core' is an anagram of 'reco'.
'elg'+'reco'='EL GRECO'
'has' is the link.
(Other definitions for el greco that I've seen before include "Sp. painter, born Domen- ikos Theotokopoulos" , "Spanish artist born in Crete" , "Spanish painter born in Greece" , "Sixteenth to seventeenth century Greek-born Spanish painter" , "Spanish painter born 1541 in Crete" .)