Oh no! I thought it was my uneven bevel , but you are absolutely correct, I have managed to put a recurve on the center of the blade. Not good.No, it shouldn't be moving like that. Try clamping something flat in the jaws and see if it hold it tight for you. I also noticed from the pic that your knife has a slight recurve to the blade, at least it looks like it. Not sure if it came like that, or you sharpened more of the middle of the blade, but it's going to be a little more difficult to get a good edge now. Anyway, first thing you need to do is get it to hold a knife without it moving in the jaws. Just going to be chasing your tail if it keeps moving on you.
What can I do now to fix the recurve? I'm supposing that I just need to spend time working on the outside and inside edge of the blade until I eliminate the recurve?
The cheap Gerber I have does have a flat side, and if I put it deep into the clamp it is more secure, but not solid by any means, and you can see in the photo that it places the bevel so close to the clamp that it limits the angle I can use.

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Thanks for the help!