This video, which is put together by cooktopbag.com, features a handy trick to make clean up of countertop cooktop cut-outs easy. By using a bag sized properly for the cooktop cut-out (along with point-of-source dust collection) helps keep debris from spreading to the jobsite. Watching the video makes one think it could easily be used on just about any countertop surface – granite or other stone, quartz, solid surface or just about everything that may need to be cut in place.
While the company makes these bags specifically designed for this use to certain sizes, one could suppose that other heavy-duty bags could serve the same purpose, although that is for you to decide.
You may also be interested in this video on Panasonic’s idea of the cooktop of the future.