In 41 years of Plumminn, I have never found loose pipes to be a cause of water hammer.
Loose pipes move because of the water motion within them.
clipping the pipes will not stop the motion of the water.
normally the valves in taps float & when the water is stopped suddenly as in a mixer, the valve moves violently causing a bounce or hammer. The loose pipes move as well because of the sudden stop, sound travels well in copper & the pipes rattle. stop the valve bounce & the rattle will cease as well but the pipes will still move & if in close proximity to another pipe or wall the pipes will bang again.
Change the stop tap to a Ball type or Gate type & clip the pipes. Only then, may you have to install a “Hammer arrestor” for years we used to “Swage” the stem of the valve but the regulators stopped that.