Text on a path.
Type lots of full stops/periods/ellipses
Use the Paint effect, since paint strokes are made up of a series of elliptical jots.
There isn't a less "hacky" way to do this?
.... argh, just saw Todd's reply. Going to investigate both ways, and see what happens.
There's also the Stylize>Vegas effect
What is the "Paint Effect"?
I can't find it in Effects, only Paint ON, and Paint Bucket, which seems to be some kind of Fill type of thing.
Readers Digest Version:
Paint "strokes" are nothing of the sort. They're vectors with a distribution of paint "droplets" along them.
In order to create them a Solid Layer is required.
// Don't worry, it's immediately able to be turned off so that only the brush strokes show. This is not done automatically when using a brush tool, therefore counter intuitive, but that's the Adobe way. So at least they're consistent.
Double click this new Solid Layer, because Adobe doesn't want you drawing on the "canvas", instead a special kind of "view" is required.
// Also Counter Intuitive, but consistently so. If you can't imagine how something is done, or supposed to be done, you're inside an Adobe app and have experience with apps that are actually designed, as opposed to Adobe that only has designs on media and marketing campaigns.
Pick the Brush Tool (CMD + B) and then draw something, anything, in this new "View" of the "Solid Layer".
Now start looking at the settings for the Paint part of the timeline Layer's breakdown of your SolidLayer, until you see:
Copy these settings to see a similar effect (depends on the size of your comp)