IF you later suffer injury or illness traceable to asbestos exposure, you may be able to sue when the injury manifests. If the exposure was significant, you may be able to now bring a case seeking payment of medical costs to monitor your condition regularly (though you obviously can't recover any damages or compensation otherwise until and unless there is some injury). You might want to consider consulting with, or at least calling the office of, some relatively local attorney who handles asbestos litigation, to see if you could seek monitoring/health costs now, what you should do now, if anything, to preserve your right to sue at some point in the future if necessary, etc. Good luck.