A laceration is a tear in the skin which results from an injury. You do not need to see a doctor if the tear does not involve the full thickness of the skin.
Most minor lacerations have minimal bleeding, minimal pain and no numbness or tingling at the site.
If you can see any bones or tendons or there is excessive bleeding and pain, seek medical attention immediately. Clean the laceration site well with warm water and an antibacterial soap. Apply an antibiotic ointment such as Bacitracin or Neosporin. Cover the laceration with a Band-Aid or sterile gauze. Change the Band-Aid daily or when soiled.