Hello Friends!
I should probably preface with a very strong YMMV
I searched the forums for hours looking for people in the same situation as me in terms of Chase's 5/24 rule. About 1 minute ago (6/15/16), I applied online and was instantly APPROVED for the CSP then Freedom.
There's been so much debate about whether or not store cards count and whether or not the month/day of the app matters. I don't know the for-sure answers, but here is my experience:
I DID NOT have a prequalification (believe me, I've been checking for months up until the last second before hitting submit on my apps lol!).
I DO NOT have a banking relationship (checking/savings) with Chase nor have I ever.
I have exactly FIVE credit cards opened in the last 24 months, however, my AE store card turned 24 months old on June 8, 2016 so I took a chance 
.
American Eagle STORE card - June 8, 2014
Chase AARP - June 20, 2015
Sallie Mae - June 20, 2015
BOFA Travel Rewards - June 20, 2015
AMEX BCP - June 20, 2015
FICOs (that I know for sure) are in sig - sitting around 740-750 each as of last month. No baddies. AAoA like 1.2 years
I really really hopes this helps other people who are just wanting a datapoint that matches their apping predicament! 