It appears we have the "clamping" aspect of drilling down pretty good, but in addition - as "insurance" - I also clamp a small C-clamp on the the edge of the table, off to the side a little, so that if the clamp holding the work piece fails and the work piece takes a spin, it will be stopped as soon as it hits the C-clamp. If your table is too lage and the work piece to small to reach out to the C-clamp on the edge, just clamp a small piece of steel under the C-clamp to reach into the table a little.
Maybe over kill, but I still have 10 digits!