Splinching occurs far too frequently.
One of the greatest things about being a witch or wizard is that you can teleport from one location to another as soon as you reach seventeen. It’s far superior to travel via fireplace or Portkey, and it’s also considerably more convenient. Most of the time, at least.
Splinching appears to occur far too frequently, and this is something that would turn us away from this mode of transportation. Why would we wish to cut our chests open or leave a foot behind?