Stiff resolution shown in disputes (5)
I believe the answer is:
tiffs
'disputes' is the definition.
(I know this)
'stiff resolution' is the wordplay.
'resolution' indicates anagramming the letters.
'stiff' with letters rearranged gives 'TIFFS'.
'shown in' acts as a link.
(Other definitions for tiffs that I've seen before include "Spats" , "Petty quarrels" , "Small quarrels" , "Arguments" , "Huffs; squabbles" .)