Feel Of, Texture
Noun
はだざわり
このタオルはとても柔らかくて心地よい肌触りです。
This towel is very soft and pleasant to the touch.
The skin touch is the feeling of touching with your skin. That is the touch of, feel of, or texture of something. It's what you feel when you touch your skin to something!
The reading is 肌 plus 触る's reading, combined. Watch out for the rendaku.