Regrinding a cam reduces the diameter or the base circle and can create problems with pushrod length and the position of rocker arm adjusters, locknuts, etc. If a new cam is available, getting a used one reground doesn't make good nonsense. Back when almost all the flathead Ford V8 race cams were made on stock cores with some pretty radical regrinding involved, Johnson adjustable tappets were available in "overlength" dimensions to compensate for reduced base circle diameters.
Jerry