I've had a look round the bugs and issues forum and can't find a thread that's exactly the same to add my name too, so I've started this one.
When I sign on to Torn mobile I see a different chat log in the faction window than I do on mobile. You can see from the screens posted below that on Desktop Torn, I have missed an entire chaining conversation held sometime Saturday night, and on mobile Torn I have missed the most recent chats held this morning. This is such a bizarre bug, and I vaguely remember posting it a couple of weeks before RESPO was launched, but I haven't noticed it since.
http://i.imgur.com/bHgcA1Z.png - Mobile (Overnight chat present, new day missing)
http://i.imgur.com/IvjjtFZ.png - Desktop (Chat missing over night) - Hovered over a recent message for a time stamp.
http://i.imgur.com/2kvwqHD.png - Internet Explorer (test) - Full chat present.
Another small issue I've noticed. Is when I change the size of the chat window on desktop Torn, and close the tab. If I return back to Torn in the same browsing session the chat window will sometimes (not always) reset itself back to it's default size.
There are no specific steps to replicate these issues, I've simply logged on to Torn as usual, and noticed that conversations are missing. I've tried all the usual tricks of Cache clearing, and deleting temporary files. I'm using Firefox 33.0 on Windows 7, and Chrome on a Samsung S3 with Android 4.3.
Hope this helps.