Sums up case of Alfred Dreyfus's framing (4)
I believe the answer is:
adds
'sums up' is the definition.
('add' can be a synonym of 'sum up')
'case of alfred dreyfus's framing' is the wordplay.
'case of' says to hollow out the word (remove centre letters) (like emptying a case).
'framing' suggests removing the centre (I've seen 'frame' mean this).
'alfred' with its middle removed is 'ad'.
'dreyfus' with its middle taken out is 'ds'.
'ad'+'ds'='ADDS'
(Other definitions for adds that I've seen before include "Contributes further" , "Reckons" , "Puts (numbers) together" , "Finds the sum (4)," , "Appends or increases" .)