Yeah, sorry, should have mentioned what it was to start with...but didn't
Had another look and wiggled lots of things about. Err, actually
tried to wiggle lots of things about. The only thing with a bit of movement was the caliper itself which moved ever so slightly left to right. Probably enough to give me the sensation I felt. I think...
All the bolts seem tight though, so I don't know. Might just throw it at a bike shop for a service and see if they find anything. I prefer to trust brake bits with experts, but will have a go at just about anything else.
Hmm...would a braided line be worth the effort on this thing, or save the money for the next bike (likely to be ages away)??