A couple of questions about a brick tuck pointing project

I moved into a 90 year old brick home that it turned out needed tuck pointing on the exterior walls. The guys doing the work are grinding out a bit of the old mortar but letting the dust settle onto the ground, is that the normal way to do it? They say it will "settle". There seems to be a lot of dust externally. Also a small bit of dust was getting around some of the window jambs and into the house. I've taped those up for the remainder of the project, but is that something I should be worried about from a health perspective? It seems like a pretty insignificant amount. How would you go about cleaning it up? Thanks for any feedback or insight.