No, it has never tripped on me.
The setting is at about 9 o'clock on the dial which is pretty low. Even then the boiler cycling is quite bad (off for about 40 seconds, on for about two minutes continuously). When I set the thermostat higher than this the cycling is even worse. It is the cycling that has led me to consider taking action to get the system properly set up.
Thanks. I don't feel sufficiently competent to start messing around at this, but I appreciate being informed about how it should be expected to work :)