Spent some time getting things sorted last night, no buzzes. Only playing through headphones but at the moment really not happy with how it sounds, especially the treble side of things, G string is just horrid. A simple D chord, yuck. Had something similar before, on the other Tele funnily enough, turned out to be the nut
Oh well, I'll figure it out eventually or ship it off for a set up, but that will be a last resort.