Maybe a lottery-style script could be run so that, in each month, an active player is selected, and a GM could write a brief dream that reflect relatively recent events of significance based on their @notes, or even just something from their history.
I think this would really add to the sense of personal narrative while only adding a very negligible amount of work.
Even if this is unfeasible, I think it would be cool that when somebody is logged out for a significant period of time (i.e, longer than 6 hours), there is a 1% chance that they get a vague nightmare with randomized theme. ("You wake up from a nightmare about your hometown", "You wake up from a nightmare about something that has happened a few months ago.") This could act as a conversation starter or inspiration.