Hi, thanks for picking up on my 'casual' terminoligy
To expand on what has been said
To under-run or under-load - to use at less than full capacity, so asking it to carry a lighter load than maximum. In a good design there is always some underrunning to allow a safety mrgin, and leave spare capacity in case someone adds something extra later on . A good thing
To run at the limit - to have no spare capacity, any more load or an increase in running temperature (by adding insulation) would be dangerous
To over-load (or over-run) To use beyond the makers recommended maximum, a potentially dangerous condition if this persists.
What I meant was, from what you described, your lighting circuit was fine, and even has some unused capacity for more lamps to be added later if you want. Sorry if I scared you!
As an aside 1mm cable is good for more than 10 amps (2400 watts - thats a lot of light bulbs!) if it is well ventilated, and more than 5amps even if sandwiched between a wall or ceiling and insulation. Most house wiring is conservative in the sense that the lighting wires could be thinner, and still safe but the problem with anything thinner is mechanical strength, not overheating.
For ring main cables, as a rule of thumb, the usual 2.5mm is just about good enough when well insulated in a wall or whatever, but more than enough if open to air on one side to allow cooling. However, the real detail is in the tables of course.
regards M.