The divertor of the ITER-like Wall in JET currently includes a solid tungsten row for the outer strike point. The use of plasma-facing tungsten in fusion devices is limited by its brittleness in the low temperature domain and by the occurrence of grain growth at high temperatures. In the absence of active cooling, an extreme case of thermal cycling is represented by the situation in JET: the plasma-facing surface of the bulk tungsten tile experiences cyclic excursions from 200°C to about 2000°C. Thermal fatigue for impact factors of 11-24MW/m2÷s is investigated with a Manson-Coffin model; tungsten properties come from production samples. Recrystallization is studied in metallographic cuts of tungsten lamellae identical to those installed in the torus were exposed in the MARION facility to JET relevant heat fluxes for >300 pulses (Pdep 9MW/m2, angle of attack 6°). The calculations suggest that the number of high temperature cycles should be limited, especially if the grain growth degrades material properties.