A.F.
ETA: Why is this possibility too "easy"? What are you looking for exactly? To be honest, when I first read your question title I thought "nothing. Dreams don't MEAN anything." All they are is a glimpse into how your brain is processing the emotions and situations you deal with every day. When it's shaped like a horse, has a nose like a horse and mane like a horse, don't think "zebra." Why all this angst over dreams anyway? Why is a simple answer not possibly the right one?
When I was going through therapy, I had a lot of dreams that involved water - one really vivid one. When I checked it out, it said that it's common for people going through therapy to have dreams about water - it's somehow connected to exposing emotions that we had been suppressing.
I also used to have dreams about abandonment when I was younger - usually my mom, but sometimes my dad couldn't "save" me from whatever. My parents are still married - I'm not sure where that fear came from, but it was definitely there.
I think the dreams are really just about processing the emotions that the separation has caused. Not that they "mean" anything or portend anything, but they're simply a reflection of how your subconsious is processing everything y'all are going through right now.