Originally posted by Isaac_Clark:

I don't keep a stonecutting table out at all. When I want to build or edit stone I grab a couple iron bars from storage, set the cutter up, make the changes, and then break the cutter down again and put the iron bars back in storage.

I keep my stonecutter bench on display in my main workshop, but essentially this. I break down the bench and move it around whenever I need to do stone work.