Not much!
Though joking aside, once scaled down to about 1.1cm, the things to watch out for here would be the bottom of the apron and the wrists/ankles. I use the measure tool and make sure nothing gets below 0.25mm thick. How thin you can go depends alot on the size of the area.
The tools in mesh mixer to prepare the model is "Make Solid" and/or "Offset", depending on the geometry. Both tools allow you to bloat the model by some amount.