According to The Guardian on Tuesday, "X-Men" screen writer Simon Kinberg reveled "X-Men: Apocalypse" will participate in the year 1983. So it would appear that the movie will take place around 10 years beyond "X-Men: Days of Future Past" and Kinberg also remarked about a timeline that would correspond to the lives of Jean Grey, Scott Summers, and Storm.
Basically put, Kinberg noted that in the 70s Cyclops would be rather young and remarked how all three would basically be early teenagers around that time period. The reason for this mention was because Kinberg revealed that Cyclops could be in upcoming "X-Men" movies where Scott would be in the past.
Some people are hopeful that director Bryan Singer would be returning to direct the film, but now the outlook is not looking towards that direction as 20th Century Fox may not be taking him on to helm the project. Allegations of Singer being accused of sexual assault on a minor are causing things to be problematic for the studios and though the legal team of Singer has provided proof that the allegations are fiction, it's really a money issue for the studio.
Singer's recent success of "X-Men: Days of Future Past" did bring in over $600 million globally and stars a slew of characters from both "X-Men: First Class" as they converge with their older selves on a mission to save mutant/human-kind against Bolivar Trask's Sentinels.
The sequel, "X-Men: Apocalypse", involves a major beast of a mutant that is over 5,000 years old. He's seen at the end of "X-Men: Days of Future Past" assembling the pyramids by what looks to be telekinesis and the camera pans over to his profile revealing the four horsemen in the background.
Though "X-Men: Apocalypse" takes place in 1983, the movie is scheduled to be released on May 27, 2016.