Right conclusion? That's ripping! (7)
I believe the answer is:
rending
'ripping' is the definition.
('rend' can be a synonym of 'rip')
'right conclusion?' is the wordplay.
'right' becomes 'r' (common abbreviation).
'conclusion?' becomes 'ending' ('ending' can be a synonym of 'conclusion').
'r'+'ending'='RENDING'
'that's' is the link.
(Other definitions for rending that I've seen before include "Ripping" , "Tearing" .)