If it is any help, to reduce the dirt, (sadly not totally eliminate it ) I place a strong magnet as close as possible to the where the cutting is taking place, and cover it with a sheet of newspaper.. Paper is my preference, since hot swarf tends to melt polythene sheets, and frustrate the intention.
The magnet attracts a lot of the cast iron dust, so it can be disposed of without covering machine, operator and everything else in it.
Howard