Flipping Tarzan's right for the title role (4,4)
I believe the answer is:
'the title role' is the definition.
('name part' can be a synonym of 'title role')
'flipping tarzan's right' is the wordplay.
'flipping' says the letters should be written backwards.
'tarzan' becomes 'apeman' (I've seen this before).
'right' becomes 'rt'.
'apeman' written backwards gives 'namepa'.
'for' is the link.
(Another definition for name part that I've seen is " Important role".)