If the cut has started oozing green or yellow liquid, I usually go straight to the doctor for professional treatment. I cut my hand on a meat slicer at work one time and didn't get it treated properly. By the time I went to the emergency room, the pain was horrific and my hand was turning colors. It turned out that the meat on the slicer blade triggered a massive infection deep inside the wound, and I didn't clean it out well enough by myself. I was lucky I didn't lose that hand.