I've been trying to track down this maker for years now and no joy at all. I've had two Jubilee types, one beads of rice and one tapered rivet sprung link - all from 1940s/50s Tudor watches (all Oysters) and all in the UK.
It also looks like WWK to me, I've asked on the Rolex forums as well as WUS and no joy - I've also tried looking through Graces Guide as I suspect that it's along the lines of Clewco, WAB, Montal et al and "Made in England".