we are seeing the light from the past, how fast a galaxy is currently moving away from us now is of zero importance. logically, a galaxy was not moving faster than the speed of light during the moment the light was emitted, so the light was able to "outrun" the universes expansion and travel towards earth for us all to marvel.
basically, the idea is that independent pairs of galaxies are moving at different speeds with respect to each other and the further the galaxies are from each other, the faster they are moving apart. so the furthest light we can see, yes, is not long for this world, but closer light being emitted might still be burning for us to eventually see. i dont know about that.
eventually the universe will expand to the point where billions of years from now all light in the night sky will cease to exist except from only the closest galaxies, and eventually even they will appear to burn out. it is going to totally freak out the cavemen.