The cloth has is basically a cleaning cloth, a microfibre cloth. But that would be too simple. It's like sewing a pocket and large enough to accommodate a small lens. The edges are sewn together cleanly. These are the best conditions. Sure, you can use it for cleaning. If it is, however loosely or with content in your pocket, more dirt can get caught up in it. So I use it more for housing than for cleaning cleaning quality glasses.
Overall, convenient and great for storage and occasional cleaning tasks. And these tasks done out the cloth.