You can blame your blunt nail clippers for trimmings that go flying instead of dropping neatly. You can always toss them and buy another pair, or you could go the less wasteful route by sharpening your current clippers.
Instructables user Phil B shares a method that he says is the easiest way to sharpen convex clippers. Remove the actuating lever, screw the jaws together, and sharpen the jaws of the clipper on a flat sharpening stone. If you have concave jaws on your clippers, you'll want to cover a peg with sandpaper and use that as a sanding drum instead.
Full details and photos can be found at the source link below.
Sharpen a Nail Clipper [Instructables]