Trim the chicory of any wilted external leaves, wash it well (the heart often has sand) and parboil in abundant well salted water until just tender.
Remove the chicory from the water, cut it up roughly and sauté it in olive and garlic, seasoned with salt and pepper and, if you like it spicy, a bit of peperoncino.
Add your pasta, cooked very al dente preferably in the same water in which you have already cooked the chicory, to the skillet with the sautéed chicory. Add a bit more of the pasta-vegetable water and mix well, allowing the pasta to absorb the flavors for a minute or two, by which time most of the liquid should have evaporated and the chicory will have partially 'melted' into a kind of sauce for the pasta.
Serve immediately. No grated cheese is called for.