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Thanks, I feel a bit stupid really, seems I wasn't upping the samples high enough. At 512+ it looks fantastic. Thanks for all the other tips too, I'm definitely going to be using them at some point.
Thanks for the great responses. I'm going to try them out soon and will let you know how I go. I've played around with your suggestions on my laptop (where I do my sandboxing) but my main workhorse PC is doing other heavy lifting at the moment.
That's the odd thing here, the renders above were with 256 samples, but doubling to 512 samples looked identically bad... so the old addage of "add more samples" doesn't seem to apply for some reason. I just tried changing my lighting out for a surface emission plane and noticed the noise drastically reduced at even 128 samples! So it must be something to do with using point lights.
Ok I've tried to implement the solution you suggested using a cloth sim and it's clear now this is the better way to go about this. I thought I needed to simulate the cord using a curve, instead it seems best to make a mesh (from the curve if required) and then simulate it from there. Thanks again.