A story where every single word begins with 's'

This reminds me of the incident in the 1980s:

Francis X Cline wrote in the New York Times…

…prompting Geoffry Stokes of the Village Voice to opine…

…which spurred humorist Veronica Geng to write a brief story for the New Yorker in which those phrases appear in every sentence. I’ve found a brief passage online…

And discovered that Geng’s work, including the story, has been collected in a book called Love Trouble

this I googled “story ‘every word’ ‘starts with s’” and got

Is there a word for this kind of composition? A lipogram is “a composition that does not contain a certain letter or letters”, but is there an assigned term for this?

Such is my luck today, I couldn’t find such a story for you.

Heh, it is with “c” in Polish. It’s a cyberotic story about love and treachery, music, blacks, nobles, bad luck and incest. It goes along this lines: