Wound. Cuts on finger can become dangerous if it gets infected especially if the person is not immunised against tetanus and they get exposed to bug which causes tetanus. Tetanus bug is prevalent as spores in nature and its easy to get exposed to these spores but prevention by vaccination is easy . So everyone should keep themselves up to date with vaccination .
Watch for infection. Any cuts of the finger can lead to infection. Watch for increased redness, pain, swelling or drainage. Keep the cut clean. If it is deep and you can see yellow tissue underneath you may need stitches.