I've been straight shaving for a couple of months now. So far I've just had the obligatory nicks and weepers every now and then. No big deal. This morning it happened. While shaving my chin, I cut (not a nick ... an actual cut) my bottom lip. Lips are highly vascular; so, it bled like crazy. I finally got the bleeding stopped. I'm guessing this kind of thing happens to everyone at some time.
For now, I put my razor in the corner of the cabinet to teach it a lesson.