I don't know how hard that would be to do, but if it would be possible to open multiple conversations into a single page and have Tabs to switch between them, it could also be rather handy on a phone where switching browser tabs can be difficult.
Just under the Title bar (litphoria, Inbox, profiles, etc), there would be there a bar meant to house tabs, and a button to <Add Chat> Clicking that would give you an option to pick between chats that you have with people. Private Messages, Chat Channels, or RPs (those currently seen into your Inbox would be listed)
So, with 1 browser tab, you could have all of your Litphoria RPs sorted, so when you have 3 or 4 conversations at the same time, there is no trouble sorting "which tab has what"
It also would allow to keep a single page for Litphoria for chatting with people, and thus, allow you to use the other browser tabs for other things, such watching Youtube videos between posts or Trolling on Facebook...Etc.
On a Phone, that would make it easier to have a few chats going at the same time without having to go through whatever methods your phone has to reveal browser tabs, and switching between them. You'd just have to scroll to the top of the page, and then tap the Tab button you want to open.