My finger cut still hurts after it healed and stopped bleeding. what else can i do?

Ongoing Healing: When our bodies sustain an injury, the immediate response is inflammation (red, hot, tender swelling). This is the body increasing the blood flow and bringing healing factors to the area and also the veins expand to carry bad stuff away. This continues for a while as all involved tissues heal. In your case, pain is a good sign of healing and will stop over time. No treatments are needed.