I have shot higher speed bursts underwater. I used my 5dmk3 shooting at 6fps with the YS-D1's. By default, as the 5dmk3 does not have a pop up flash, I used electrical sync cords. I used this set up mainly for mandarin fish or anemone fish shots. Using the D1's at 1 click under half power, sometimes even 2 clicks. I find I can fire around a 2 second burst with the D1's. I don't do this often and do let the strobes cool down. Most of the time the burst is for 6-8 shots.
Optical triggering by the factory popup flash won't usually work even if you manually set the flash to low power as (in Canon's case) the body limits to 3fps. If you want optical triggering then you'll need some sort of converter from electrical to optical, like the one found on S&S housings, I believe this setup will also do TTL, but I don't have first hand experience.