Interesting comment Katy. I had to look up cotton reel exhaust mount to see if my description was valid. I found this picture
SAJ in NZ.
A photo would explain it better if you are interested.
SAJ in NZ
Just use one of these rear exhaust clamps (from Brattons)):
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It looks kinda close to an original and the heat insulator will keep the exhaust pipe from rattling, but, if tightened properly (not too tight and with the cotter pin inserted), your exhaust pipe will be able to move around with the movement of your engine and the expanding and contracting from the exhaust heat.
Brad in Maryland