British and European standards only specify a minimum of 2mm clearance between tyre and frame/fork.
Really? I thought the ISO was 4mm either side, that’s certainly what Rourke work to (and I think Cervelo also although the key diagram seems to have disappeared from this article https://www.cervelo.com/en/further-clarity-on-tire-clearance)
OP – I ran 40mm Terrenos in a Kinesis CX frame with 44mm clearance, so 2mm either side. I could make the tyres rub if I tried hard enough (or actually, not even really that hard) and you can see the sidewall of the rear tyre definitely looks a bit scuffed. They also scored through the paint although I couldn’t tell if they were wearing through the aluminium beneath. I put some helicopter tape in there which seems to have prevented any further wear, at least, I can’t tell if the tape has been worn through or not.
Despite what many, better informed and more experienced people than I will tell you, I took extra care of the dishing of my wheel and tightened all spokes as close to design tolerance as I could and it *seemed* to improve matters.
I’d personally be happy with 3mm either side, but that’s because my frame is already damaged! If it’s a new frame (and carbon?) I’d be leary, would at least fit some sacrificial helicopter tape and monitor it to see if it is being worn through.