Tunnie. Hydraulic self adjusting shims are simply the metal plates that are used to adjust the gap between the cams and the valves.
Hence tappety sound on a Senator = bad!
Older cars had tappets which needed manual adjustment periodically to do the same job. When the gap became too large you would get an engine sounding very rattly (old Talbot engines though sounded like this pretty much all the damn time!)
For a more technical (and better written) description, please await Marks post!
Many moons ago I owned a 6 pot Princess (don't laugh
) that had this set up for ajusting valve clearences you had to measure the gaps remove the camshaft and followers work out the size shims required to obtain the right gaps by either adding or subtracting from the shims that were in place toddle of to the main stealer buy the shims usually a vaste assortment of different sizes put them back in the correct positions and replace the camshaft what a pain in the ass
it was far easier adjusting pushrod type setups