The work cable from the machine should be connected to the table (or the work). For extra safety the table should also be connected to earth ground (a water or heating pipe or a conductive bar driven well into the ground) this connection would not be expected to carry a large current, just prevent the table from floating to a voltage where you could get a shock.
Arm to arm or arm to leg both pass close to the heart. Standing on a mat will eliminate one, dry gloves will help eliminate the other.
I don't remember ever getting a shock from a mig, that could just be luck.
Bill