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He does go straight to the inside bevel with his rotary, but I'm sure he is experienced. I have sharpened my wire flush cutters, went inside once & ended up with a slight "gap" in closing.
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I'm sure some type of result could be had from lying it on a 4/8, but would it be the best choice. :shrug:

If it is the size I think it is, palm size, then I would use nail buffing files on it....