And how is everyone supposed to know when to leave their room and where to go?
Any wave! Including sound waves.
> I guess you could at least have a light source that periodically gets brighter and dimmer
Would it even be possible to make a timer that periodically gets brighter and dimmer in a world with an infinite speed of light? Would the crystal oscillators in CPUs still work?
I believe that some processes (like nuclear decay) stop happening when there's an infinite speed of light. I guess my overall question is: does time still exist in a world with an infinite speed of light?