(I'm not certain on this point, but I think some of the high-redshift galaxies we can see in deep field images are now causally disconnected. We're receiving some of their old light, but we can't send anything back anymore -- they've faded out into infinite redshift).
edit: Here's an article about this idea by Ethan Siegel, and its HN discussion thread (thanks 'petilon for helping me remember the author):
https://medium.com/starts-with-a-bang/the-disappearing-unive... ("The Disappearing Universe")
https://news.ycombinator.com/item?id=7896776 (64 comments)