It seems that some PlayStation players are receiving their DUST 514 beta keys right now and downloading client. The client size is 1507mb + additional patches (around 700+). We will update this article once we find out more, but keep in mind that NDA is in place so you won't get any screenshots or videos from people that are in.
Update 1: CCP CmdrWang Just confirmed that Sony is sending out 5000 closed beta keys to their testers which have access to the current beta build.
Update 2: Current state of the beta is pre-fanfest build which is rather old and is used for stress-testing mostly and are available only on Friday, Saturday and Sunday. Sony needs to approve another big patch for DUST 514 and once they do Fanfest attendees and others will be able to get into the beta and start playing newest build of the game. This will happen during the next week or so.