It is useless for a 208 volt load,
In theory, it could work. In practice, you're facing the limitations of slash-rated breakers, if you attempt. Most single pole breakers in this voltage class, are slash-rated at 120/240V, requiring the nominal voltage-to-ground to not exceed 120V, and the voltage across poles to not exceed 240V nominal. Even if the load can be powered by 208V, the single pole breaker's limitations govern.
You'd need a straight-rated breaker that's rated for 240V, without 120V being part of the rating, to be able to do this. One way, is to use a 2 or 3 pole breaker that is straight-rated, and not use the remaining pole(s). Another way, is to use a 480V panelboard, whose breakers would at minimum, be rated for 277V nominal to ground.
There's very little practical need to do this, since most loads that can work with 208V, are also built to handle 240V. Either by configuring jumpers on a device like a motor, or with a device that automatically adjusts, like a DC power supply.