To hand out punishment will upset this case (8)
I believe the answer is:
chastise
'to hand out punishment' is the definition.
I can't judge whether this defines the answer.
'upset this case' is the wordplay.
'upset' indicates anagramming the letters.
'this'+'case'='thiscase'
'thiscase' with letters rearranged gives 'CHASTISE'.
'will' acts as a link.
Can you help me to learn more?
(Other definitions for chastise that I've seen before include "Punished severely" , "discipline" , "Inflict physical corrective treatment" , "Beat" , "lecture" .)