@coolsnakeman
The phone cabling is overhead, and there's no obvious fault such as touching wires. The drop wire was replaced a couple of years ago, and appears to be in good condition.
The ADSL engineer did run a set of diagnostic tests, but by the time he arrived here the intermittent fault had gone into remission again and he could detect nothing.
I take your point about escalating the problem via my ISP, but having been stung with a large bill once already I'm gathering as much information as I can first.