I've owned numerous 372's since 2011 and as long as you don't use it as a shield against hard objects it'll last for many years. It'll stand a polish with Polywatch should the micro scratches bother you but as with my 587 (also 47mm with the identical Plexiglass) a few small scratches suit the overall appearance of the watch, given that its supposed to be a homage to the original 1950's Panerai.
Google search Panerai 372 Plexi Crackle! I believe this is a man made process of pressure and heat being applied to the glass which speeds up a the distortion and aging giving the look of 50+year old plexiglass.