Fame of owner changing name (6)
I believe the answer is:
renown
'fame' is the definition.
(I know that fame can be written as renown)
'owner changing name' is the wordplay.
'changing' indicates anagramming the letters.
'name' becomes 'n' (common abbreviation e.g. on forms).
'owner' is an anagram of 'renow'.
'renow'+'n'='RENOWN'
'of' is the link.
(Other definitions for renown that I've seen before include "Fame and public acclamation" , "Fame and eminence" , "Fame and distinction" , "High repute" , "Good reputation" .)