Delete Individual Messages in Chat Conversation

I'm using new "chatroom" feature extensively and would love a way to moderate individual chat messages. More specifically, is their a way to allow a user with the "administer IM" permission to delete individual chat messages within a conversation?

Here's the use case: Let's say we're having a great chatroom conversation, but someone joins the chat and says something inappropriate, vulgar, or offensive. Right now, that message is part of the conversation and I can't get rid of it unless I close down the entire chat room.

Instead, it would be great if a little "x" appeared next to each chat message for a user with the "administer IM" permission (or else a separate "delete individual messages" permission). Clicking the "x" would delete the message from the database.

Given how messages are being stored, does this feature seem possible?