According to cnnnews.com, Joe Biden announces on Monday that he "might not be going anywhere yet", opening the possibility of a Presidential run in 2020. Biden told reporters that day how much he enjoyed working in his chamber. When cnn jokingly asked if he would run for office again, Biden replied "Yeah, I am. I'm going to run in 2020." When asked what position he would be running for, Biden replied, "For President. What the hell, man." Biden later clarified saying, "I'm not committing to anything. I learned a long time ago fate has a strange way of intervening.
http://www.cnn.com/2016/12/05/politics/joe-biden-2020-run-election/index.html