It may really be just some variation on apophenia, but I have occasionally thought I saw a meaningful series of coincidences, and have tended to take it as a sign of divine indication that I am on a path that I am intended to be on.
The most recent significant example I can think of was about a year ago. I had struggled against what seemed like impenetrable bureaucratic obstacles to get into a government program to train me for a new trade. Finally, the obstacles cleared, and there I was.
The person that I was working with at the California Employment Development Department (EDD) had a last name of “Camilo”. At the trade school I ended up attending, my contact there had “Camille” as her first name. My first day driving to school, to attend classes there, I happened to notice that along my route, was a trailer park with a big prominent lighted sign proclaiming its name as “Camellia Village”.
It seemed somehow significant to see variants on the same name pop up at each end of the process, and on a sign along the physical route that it sent me along on a daily basis.
A few weeks later, I was at my church, and noticed, on a bulletin board, a poster advertising an employment service offered by my church, and bearing a picture of a woman who bore a noticeable resemblance to Ms. Camilo at EDD (different enough that I wouldn't mistake one for the other, but definitely similar); and also, on the same bulletin board, another poster advertising an educational program offered by my church, and bearing a picture of a woman who similarly resembled Camille at my trade school.
Rationally, there's no reason why any of this ought to be assumed to mean anything, but I don't seem to be capable of seeing such a massive wave of coincidences, and to not think that it must mean something significant.