It was a tether, so that they can take as a head lamp (on or right / left on the side of the head). I think more of a gimmick that makes sense if you take really Wanders (safe for jogging unsuitable).
At the lamp itself is still a retaining clip that you can cliffs on a strap or belt (also great idea).
Bike Mount is ok as with most others. Plastic holder with rubber pieces so nothing slips. Fits sitting is ok
The lamp itself is great. Incidentally, you can also change the bulbs here! So no disposable lamp that must throw the same EC!
For jogging in the winter, I find it great! Almost too good to just go bike)
Magdalena