A few years back, I've read a very nice story about time travellers.
I've been reading it online - no idea if it was ever published properly, or just an online-only piece - and was too busy that day to finish it in one sitting (it was a novel-length story, and I made it to roughly the middle). Then the next time I wanted to see it, the browser had already been reloaded, and I couldn't recall where I found it originally (most likely, somewhere on TV Tropes, but I have no idea what page, and I'm not sure enough it was that to consider checking all the possible options).
I hope that I give enough information here for you to figure out what story it might have been - I really want to finish it properly some day.
There was a temporal research station set up somewhere in the distant past (Mesozoic? not sure about that part) which was a main base point for time travellers going to various times.
The research station was active for several centuries. The main character (male, I think, but not sure) is from the first few decades of the station's activity; at some point he meets, and has further adventures with, a girl who worked at the station about 1300 years later (and was surprised that the other guy was from that early - apparently their home times were separated by a similar time period).
Not too long after the girl worked there, the station was closed/abandoned for some reason, and at some point the main characters visit the now-abandoned station and try to figure out said reason. That was almost at the point where I had to stop, so I have no idea what happened later (in particular, whether they ever figured that out, and what the reason was).
Now the less certain parts: I'm almost sure that the main character (the one who's not the other girl) was stuck in the past in some way (cut off from normal methods of escape, hoping for some other lucky escape), and when he met the girl, they ended up stuck together.
Also, there were time paradoxes involved in some way; maybe the girl's future was prevented by the main character being lost. I think one of the paradoxes had to do with why the main character was stuck in the first place, but I'm not entirely sure (and it might have been explained in the half that I didn't read). The girl is definitely surprised that they both exist, and are stuck the way they are (as in it was not supposed to happen in the "normal" time path, whatever that was).
For some reason, I seem to recall that the original link I got the story from mentioned it involving a real lot of paradoxes and general time travel messes - a lot more than I ended up seeing - but I didn't get to read far enough (as I mentioned, I stopped around the middle - maybe at 40%).
Any idea what it might have been? I know there's a lot of stories about time travel and paradoxes and stuff like that; hopefully the whole thing about a temporal research station being active for ~1400 years (I'm fairly sure of that number, at least approximately) and then getting abandoned is unusual enough to identify the story.
I know it must have been online (as of two years ago, at least, and probably still), and linked from somewhere (likely TV Tropes). But even that includes an awful lot of stuff (and searching for the 1300 or 1400 years isn't likely to help, because I think it's been a more precise number in the story - which I don't actually remember).