Christ, I forgot all about this thread. Here's two suggestions that I've used in practice in the Gym.
Vitamin K: As you see, Vitamin K is a pretty natural coagulant. But more importantly it's very helpful if you know your Fighter is a nose-bleeder or bruises easily. You have to be careful just how much you use because it can restrict bloodflow to a detrimental point if overused. But if you're around a Fighter for a training camp and notice he bleeds during sparring, or marks up easily, this could be a saving grace that earns you a good reputation.
Arnica Montana (or if you prefer a more manly name, Wolf's bane): Arnica is one of few things Hippies got right. This stuff is phenomenal for bruising, and especially works well with the thin-skinned. Right now it's the single most popular Doctor-recommended homeopathic remedy, and who is recommending it? Plastic surgeons to women before and after surgeries to minimize bruising and heal a wound faster. I learned of using this for Fighters from Mick Williamson, who used it for Ricky Hatton. Ricky's known as a terrible cutter:
http://a.espncdn.com/photo/2007/1204...hatton_580.jpg
Both of these items come cheap. I recommend Arnica by Boiron (the pellets), and particularly the 12c dilution. That's the one best for surface bruising/trauma. If you can't get a hold of 12c, 30c will do. Make these an essential part of your cut kit, especially if you have access to a Fighter who really needs help at least a week before the Fight.