High passage diva is struggling with cut (7)
I believe the answer is:
viaduct
'high passage' is the definition.
(raised passage or path)
'diva is struggling with cut' is the wordplay.
'is struggling with' is an anagram indicator.
'diva' with its letters anagrammed with 'cut' makes 'VIADUCT'.
(Other definitions for viaduct that I've seen before include "Long bridge over land" , "Bridge carrying a road over a river or valley" , "Rail bridge over valley" , "Kind of road over a road" , "Bridge to carry railway over a valley" .)