I think there was a paper about owls and flash photography... basically said that there is no damage to their eyes or vision. Think about lightning storms and how bright those flashes can be.
The one danger could come from the proximity of the frog to the flash tube(s). Depending on which model flash and what power setting you have it set to, you could actually burn the frog. When I worked at a camera store we succeeded in setting fire to paper by triggering flash units in close proximity to the paper - seriously. I've also accidentally put a permanent burn into a vinyl couch with a regular, hot shoe flash.
The one danger could come from the proximity of the frog to the flash tube(s). Depending on which model flash and what power setting you have it set to, you could actually burn the frog. When I worked at a camera store we succeeded in setting fire to paper by triggering flash units in close proximity to the paper - seriously. I've also accidentally put a permanent burn into a vinyl couch with a regular, hot shoe flash.