Atlus USA just announced that Persona 5 is now releasing in April.
Now that the bad news about the delay is done, there is some good news. Fans of Japanese VA will be glad to know that Persona 5 will have free Japanese VA DLC at launch on PS4 and PS3. They will also be recording previously unvoiced lines and working more on the localisation than before for this final delay.
Persona 5 is set to release on April 4, 2017 for PlayStation 4 and PlayStation 3.