Called new dame round (5)
I believe the answer is:
named
'called' is the definition.
(synonyms)
'new dame round' is the wordplay.
'new' becomes 'n' (abbreviation as in New Testament NT).
'round' is an anagram indicator.
'dame' anagrammed gives 'amed'.
'n'+'amed'='NAMED'
(Other definitions for named that I've seen before include "Entitled" , "Identified by appellation" , "Handled" , "Christened" , "Titled" .)