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"to make snowballs," 1680s, from snowball (n.); sense of "to throw snowballs at" (someone) is from 1850. Meaning "to increase rapidly" is attested from 1929, though the image of a snowball increasing in size as it rolls along had been used since at least 1613, and a noun sense of "a pyramid scheme" is attested from 1892. Related: Snowballed; snowballing.
Supercilious and disdainful: I won't give that snotty bastard the time of day
[1926+; fr snot and influenced by snooty]