The regular Gyro-Cut does not cut fabric well. However the upgraded product the Gyro Cut Pro is capable of cutting fabric,
The Gyro-Cut Pro has some sharper and much tougher blades made from Tungsten carbide the Deep Cut or Medium Cut blades are both capable of cutting many fabrics very well.
It does take a little bit of prep.
The Gyro Cut product all cut better when the material being cut is placed stably on a cutting mat best prepared with some Post amount of tackiness.
For fabric we recommend applying a temporary fabric backer. There are multiple on the market.
On the
product page we have a video showing cutting fabrics as well as many other uses.