Apply pressure and elevate is standard treatment for bleeding. For a finger I suggest pushing on the cut with your thum (assuming there's nothing in it) and holding your hand up by your face. Obviously bring your hand back down when you start getting pins and needles.
Then put a plaster on it (or 2, with tape to get the stupid things to stay on fingers).
That's all assuming it's bleeding slightly rather than seriously. If it's properly bleeding and has been for an hour then you should get it looked at.