Broken rockers can be a sign of an engine having cam timing issues and slack chains can, in some circumstances jump a tooth and create this problem.
Sadly the investment cast rockers do also suffer from occasional fatigue failures and just break.
However, swarf in the timing case is never a good sign.
The tensioner you show in the photograph seems to have been converted to be a 'fixed' unit which would need manual adjustment and if not periodically adjusted will allow slack as the chain wears.
An 'urban' myth is that chains 'stretch' with age. They do increase in length but due to wear of the pins and the holes in the side plates. As the chain elongates the cam timing of the engine will also change and an increase in length will retard the cam which will tend to bring the exhaust valve closer to the piston.
A standard oil damped tensioner should have the appearance shown below:
It is unlikely that the modified tensioner can be rebuilt back to a standard configuration so it will need replacing.
I am not a great fan of hydraulic tensioners as they do have some issues and can still fail but may people do believe they are indestructible.
We generally rebuild the standard tensioner and then fit a safety collar, also known as a 'chain saver' so if the internal spring does break the tensioner doesn't collapse and the chain doesn't jump a tooth.
This approach is generally cost effective as rebuild kits are around £40 each.
While you are looking at rockers it may also be worth checking to see which rocker arms are fitted. From 1967 to 1969 the Investment Cast Rockers were used without the Glyco Bushes fitted to the early forged rockers and the later Cast Rockers.
This means the rocker runs a steel/steel interface and with the relatively poor lubrication conditions the rocker/shaft interface can gall quite badly and in the limit could make the rocker stick on the shaft.
If you have these types of rockers I would suggest changing them for later spec parts with bushes and change the shafts at the same time.
It is possible that they have already been changed but worth a look.