A clothing connector having tensile components is formed in any of the conventional ways, and a soft roughness insulating covering layer is attached to one side and then moved to the other side in an inside-out process which provides a soft finish not only to the side to which it was moved, but also the peripheral edges and a narrow portion of the side of the clothing connector to which it was originally attached. This structure and process enables quick application of a softening, object insulating covering to any clothing connector expected to face the body.