Top indexing radical 雨 (rain) - marks 雪 as a form of precipitation falling from the sky. Same family as 雷 (thunder), 霜 (frost), 露 (dew), 霞 (mist). The four dots inside represent water droplets, here understood as crystallized into snowflakes.
Bottom component, originally 彗 (broom) shortened - a hand sweeping. Captures the idea that snow is something one can sweep up. Together with 雨 above, the whole character pictures rain that has settled thickly enough to be brushed away.
