I have a Gingher Rotary cutter and no mine does not leave any shavings or residue at all. I think you've got a defective one, return it and get another Gingher because they really are the best. I've owned other rotary cutters and Gingher is the best. The blades last much longer than any other rotary cutter. The grip is excellent allowing for comfort for your hand and precision cutting.
Kind Regards,
MaryAnna