I'm gonna buck the trend here - I toss 'em. I have WAY too many non-clipped shots that will never see the light of day (I'm always behind in processing) to worry about the clipped ones. Sure, it's painful, but sometimes a miss is just a miss. Happens to fishermen too, but they don't get stuck in-between like photographers
If you get one you're really desperate to save, you can sometimes do a "Photoshop transplant" if you have the wing tip in the same position in a different frame. Lots of work and not something I'd really want to spend the time with, but it's possible.
Another thought is, if you have the pixels, to crop in tighter so it looks like the crop was deliberate from the start