Become exhausted, so bring about dismissal (3,3)
I believe the answer is:
run out
I believe this clue is a double definition.
'become exhausted' is the first definition.
(something that has run out is empty or exhausted)
'bring about dismissal' is the second definition.
(as in running out in cricket)
'so' is the link.
(Other definitions for run out that I've seen before include "Dismissed (at cricket)" , "Come to an end" , "Dismiss (in cricket)" , "being dismissed by umpire" , "Dismissed while attempting to sprint between the wickets" .)