Nora Batty, seeing river in Italy (4)
I believe the answer is:
arno
'river in italy' is the definition.
(I've seen this in another clue)
'nora batty' is the wordplay.
'batty' is an anagram indicator.
'nora' with letters rearranged gives 'ARNO'.
'seeing' is the link.
(Other definitions for arno that I've seen before include "River of 11 across" , "River of 4 down?" , "25's river" , "Banker" , "Italian river" .)