Well I'm at nearly 5 weeks - passed in early July, still absolutely nothing back.
My colleagues in the US were stunned by our procedures:
"Send it off? I wouldn't let my logbook out of my sight..." and "when I passed, the FTO typed in the details to their computer; it registered it with the FAA; they printed out my licence and I signed it".
Can't vouch for the second statement, but I'm sure we could implement something between the two systems.
Hope we all get our licences soon. Good luck to anyone else who's waiting.