Please let's stop talking about the clamp. The shadow on the side with notches shows the notches in the edge, therefore the shadow is of the edge of the film gate. The shadow is relatively sharp-edged, which means that the light source is nearby to the edge or well collimated; it's not some sort of overall diffuse radiation.
An image of the entire frame of an affected negative would be useful, it doesn't have to be a scan, even a cellphone pic of the negative laid on a light box (or a computer screen, etc) has been useful in the past.
Does the shadow show up most often or most strongly in pictures with a lot of bright sky, or sun outside the frame? I agree with Photomultiplier's suggestion that it is likely from non baffled light, outside the image area, reflecting off the wall of the inside of the camera.