Scota4570,
The kind of cuts that you take, will dictate the shape and size of the chip. Light cuts when using the side of an end mill will produce those hair sized chips that require frequent removal under magnification. Stainless is worse. I really don't know how to eliminate the possibility but a good pair of vernier, dial or digital calipers can usually be used to grip them between the jaws and pluck them right out.
I find the little ones work there way through my shoes and stick in my feet too. My hands have gotten used to it, my feet not so much.
If you are just cutting ferrous material, one of those powerful magnetic brooms with wheels might get some that the vacuum and broom miss.
Blessings, Bill