I frequently cut myself shaving when I travel. I'm not sure why, because I don't cut myself very often at home when using the same type of razor.
It's a hassle to get a cut, especially when I'm about to attend a meeeting, because the bleeding takes a really long time to stop. I used to carry a styptic pencil with me when I travel, but I must have left in a hotel bathroom because I can't find it. It worked pretty well, but it was messy to use and left a white spot on my skin, so when I looked for a replacement, I bought these KutKit styptic swabs instead.
On my last trip, I finally got a chance to use one. It looks like a Q-Tip. I snapped the tip with a ring around it, which broke a glass tube filled with aluminum chloride-6-hydrate. The liquid flowed into the white tip and I applied it to the cut on my neck. It smarted a nit more than a styptic pencil, but it stopped the bleeding instantly, and left no residue. Good stuff.