What does the installation instructions say?
You aren't going to be grinding up the rubber interlocking pieces or generating any dust, at most you'll be scoring and cutting, so no worries there. As for grout, once it is wetted, dust won't be a problem. When mixing it, wear a respirator. Just follow the manufacturer's recommendations.
I bought jack stands to work on the truck today, and they had a California State cancer causing substance warning. I didn't think getting crushed caused cancer....... and it's a known carcinogen!