Maybe I exaggerated the thickness slightly, but defintely thicker than regular extension cable.
I still don't really know how to tell if the cable is stranded - if it's important, perhaps you could let me know how I can determine this.
I can't immediately try a phone on the extension, as the socket is a vertical rather than horizontal one (sorry, don't know correct terms), and I don't have an adpater handy. Now that I think of it, I seem to remember opting for an installation kit that would be dedictaed ADSL, and not be wired for telephone use. Or something like that. Does that give any clues? The wiring colours are blue and white/blue, which are connected to the top right hand terminal and the one beneath it, both numbered "1".
I may have resolved the problem another way, as I have just discovered a second master terminal, which must have been used for a second line in to the property at some stage. Had assumed it was a redundant extension, but it turns out that it's a master socket and much closer to the PC. If I can switch my number from existing socket to this one, I could be laughing

What are the odds it won't be that easy...?