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My fave way to make "linen" from old jeans
Forgive my lousy photography, I hope it's good enough to get the point across. To make a "linen" strop out of denim, you need an outer piece wrapped around a core piece, to simulate the weaves of yesteryear which were continuous & had no edges.
My first attempt at this used a strip of soft plastic for the core, and silicone RTV adhesive. The adhesive was too liquid & bled through the cloth, and the plastic was too hard, resulting in a strop that felt hard and scratchy.
I decided the results would be better if I used a fabric core instead of plastic, and contact cement. I used DAP Weldwood Contact Cement from the hardware store. It comes in a bottle with a built-in brush attached to the inside of the lid.
Cut two strips of denim, one an inch wider than the other. The width of the narrower piece will be the width of your finished strop Use some bits of packing tape or duct tape to hold them flat to the table, slightly (but not overly) stretched out. Coat both pieces with contact cement.