In previous ios versions, like ios 7, when you deleted individual messages from a conversion and then went back to the menu, it would move that conversation down the list to the last message in the conversation. It seems that since ios 8 and now ios9, after deleting a message the conversation stays were it was. So, if you delete all messages from today, the conversation will still stay with the other conversations from today, rather than being back down the list. Seems a bit weird that the timestamp on the conversation remains at the last message despite the fact that it was deleted. I wonder if this can be fixed... This is a very bad BUG that still isn't fixed!