Having lost identity Coleridge violated painter (2,5)
I believe the answer is:
el greco
'painter' is the definition.
(nickname of Domenikos Theotokpoulos, 1541-1641)
'having lost identity coleridge violated' is the wordplay.
'having lost' indicates named letters should be taken away.
'identity' becomes 'id' (abbreviation).
'violated' indicates anagramming the letters (letters violated or damaged).
'coleridge' with 'id' removed is 'colerge'.
'colerge' with letters rearranged gives 'EL GRECO'.
(Other definitions for el greco that I've seen before include "Crete-born Sp. painter" , "Domenikos Theotokopoulos" , "Sixteenth to seventeenth century Greek-born Spanish painter" , "Spanish painter, nicknamed for his place of birth" , "Sp. painter, born Domen- ikos Theotokopoulos" .)