Rig safety is all about leaving as little for the fish to tow around should your main line break, this applies to all rigs regardless of the name since any rig can be made unsafe.
In the case of the chod rig, should the main line break, the hook link should be able to slide off what is left leaving only that hook link in their mouth and the lead on the bottom of the lake (rather than the fish towing it around), problems can occur with this rig if beads, loops or any other sort of stopping / restricting device is used which prevents this such as a swivel eye being too small to pass over any knots or a bead being too small a diameter to slide off the end or over any knots.
Welcome to the forum and it's is a very good question to start with