For what it's worth, I managed to fix the thermal throttling on my 9560 (sounds like you have the same model) by carefully removing all of the old thermal paste

For what it's worth, I managed to fix the thermal throttling on my 9560 (sounds like you have the same model) by carefully removing all of the old thermal paste from the heat spreaders using rubbing alcohol and re-pasting it all. I also added some thermal pads to connect some components to the bottom case. There are guides online on how to do this if you Google around. Personally I think it's inexcusable to need to go through all this on a brand new £2000 laptop but I liked it enough to go to the effort and, like I said, it did completely cure the issues in my case and has been fine for the past 6 months or so.