Anyone who spends alot of time in caves, or abandoned mines, is going to have higher than average exposure to radon, if you are employed to do it then the Exposure to Ionising Radiation Regulations apply but if its recreational then you can suit yourself what you do.
There was alot of controversy about radon exposure in the 1980s and early 90s and lots of publicity about it. One effect of that is all new build in susceptible areas (including Weardale) has to be radon-proofed.
There really doesn't seem to be much precise information about exposure levels in different mines partly because they vary within the same working and over time, and what is 'safe' and whats not is next to impossible to determine.
Short of getting a personal detector and wearing it you might as well
a/give up caving
or
b/ forget about it.
IMHO 😉
There are 10 types of people in the world.
Those that understand binary and those that do not!