When Does the Second TV Show "The Flash" Season Two (2015) Take Place?
"The Flash" season two is a science fiction superhero television series showran by Andrew Kreisberg with Gabrielle Stanton, Aaron Helbing, and Todd Helbing [adapting "The Flash" #74–#79 v2 (1993) by Mark Waid] that premiered October 6th, 2015. So when is "The Flash" season 2 set?
It takes place on an alternate timeline of the fictional DC Films Universe in the year:
We know this because in season two episode one "The Man Who Saved Central City", an issue of "Central City Picture News" is shown with a front page describing the very previous scene and is dated for "WEDNESDAY, OCTOBER 7, 2015". So it's confirmed to be October of 2015 AD at the beginning of the season.

2015 AD - 2016 AD
Later, season two episode twenty-two "Invincible" (2016) and season two episode twenty-three "The Race of His Life" (2016) depict the death of a character and the grave marker for this character clearly reads "1955 - 2016" when it is seen in episode twenty-three. So we know it is 2016 AD at the end of the season.
More specifically, in season two episode seventeen "Flash Back" (2016), Iris West refers to the events of season one episode twenty-three "Fast Enough" (2015) that take place in April of 2015 AD when she says, "It's been almost a year already, can you believe that?" So it must be early 2016 AD at this point.
4.2,015 + ~1 = ~4.2,016.
Additionally, season two episode seventeen "Flash Back" includes time travel to the period of season one episode eleven "The Sound and the Fury" (2015). Season one episode nine "The Man in the Yellow Suit" (2014) depicts the characters enjoying Christmas in December of 2014 AD while season one episode twenty-three "Fast Enough" (2015) takes place in April of 2015 AD so episode eleven (between them) is almost certainly very early 2015 AD.
Also, about halfway through season two episode twenty-three "The Race of His Life", there is a short series of extremely quick flashbacks explaining Zoom's past. These quick flashes (other than the last one) are unplaceable other than taking place before Zoom's first appearance in season two episode one "The Man Who Saved Central City", which takes place in October of 2015 AD. The last one is strongly implied to be simultaneous with the final scene of season one episode twenty-three "Fast Enough", which takes place in April of 2015 AD.
MANY episodes also include flashbacks to Barry's childhood. Detective Joe West says, "It's been six months, Barry." in the first one this season, clearly referring to the events of the 2000 AD flashbacks in the previous season. We know that key date because of a recording played in the same episode that says ..."on the night of March 18th in the year 2000" when talking about the first season prologue/flashbacks' events. So it must be September of 2000 AD at this time.
3.2,000 + 6 months = 9.2,000.
It is an early chronological series in the DC Films multiverse timeline (a first chronological show to feature Barry Allen/the Flash) and can be watched either at its timeline point or before "Justice League" (2017) as an extended flashback.

