Fizz was a political cartoonist for the Ankh-Morpork Times. His depictions of Morporkia raise a manly sigh in many a patriotic breast. His depiction of Polly Perks raised an embarrassed red flush in hers. Which, being male, he doesn't have; honestly, it's just a figure of speech...
The long-lived satirical magazine Punch, in its nineteenth century heyday, employed a house cartoonist called "Phiz" which was short for "Phizzog", which in its turn was short for "physiognomy", or "facial likeness"
Punch was a patriotic British magazine which, while occasionally a source of embarrassment for British governments, soon became part of the Establishment. It faded and died in the late twentieth century under pressure from more genuinely satirical publications such as "Private Eye"