Insert the flat end of a spudger in between the bottom of the head strap clip and the head strap padding.

Pry up on the head strap clip until it is unclipped from the head strap.

To reinstall, first locate the recesses on the head strap for mounting the clip. Next, align the clip with the recesses, verify the tether cable is threaded through the clip, then simply press the clip back into place.