Experience, endure (7)
I believe the answer is:
undergo
I believe this clue is a double definition.
'experience' is the first definition.
(to undergo something is to experience it)
'endure' is the second definition.
(I know that endure is a more specific form of the action experience)
(Other definitions for undergo that I've seen before include "Endure for guerdon" , "Submit to an experience" , "having to travel by tube" , "Suffer reverse" , "Endure - urged on (anag)" .)