The second is the #tweetMySleep button. You can now warn your friends and/or colleagues if they need put the coffee pot on danger money.
As you can see I had no less than 6 snoozes - something of a record I think.
If I press the #tweetMySleep button I get the following:
If you are not logged into Twitter, then it will allow you to log in. Otherwise you go straight to editing your tweet and posting.
Please note after tweeting you need to press 'cancel' to get out. Twitter's 'close' button doesn't seem to actually do very much.