Stray could end disagreement (5)
I believe the answer is:
drift
'stray' is the definition.
(I know that stray can be written as drift)
'could end disagreement' is the wordplay.
'end' says to take the final letters.
'disagreement' becomes 'rift' (I've seen this in another clue).
The final letter of 'could' is 'd'.
'd'+'rift'='DRIFT'
(Other definitions for drift that I've seen before include "Walk casually; snow pile" , "Be powerless to control movement" , "Coast" , "wander from place to place" , "go with the tide" .)