According to my brother (who works in the nuclear waste disposal industry), the bits of a tokamak are quite radioactive after prolonged use. He is currently dismantling one at the JET lab for what its worth.
Yep. if I recall it properly, a tiny fraction of those aforementioned high-energy particles hit the containment walls and convert a portion of the material into relatively unstable isotopes.
(EDIT: Ah, as noted more accurately above)
Oh, and here's another fun fact about nuclear power in general - fossil fuel power plants can actually release more radiation into the environment than self-contained nuclear reactors. Thorium and uranium occur in trace amounts in coal in varying amounts, but it is not actually burned in the production of power. It therefore ends up concentrated in the fly ash, not all of which is successfully captured before release. Mind you, the radiation still isn't all that harmful (even if we're talking a factor of ten, it's still comparing something like one in a million odds to one in ten-million odds), but it's always fun to use on people afraid of the nuclear bogeyman being unchained. Certainly, the radioactive waste from nuclear reactors is greater by far, but it's all contained in the course of normal operations.