it seems like there is no rule for how long you wait to apply for a Chase card after got denied......I have multiple cards with Chase this year.
Ink Bold (opened 12/12, closed 7/13)
SW Business Primeir (12/12 - 7/13)
SW Priemeir (1/13 - 4/13)
SW Plus (6/13 - 9/13)
Bristish Airway (7/13 - open)
SW Business Plus (7/13 - 10/13)
Chase Preferred (8/13 - open)
Applied for chase UA on 8/13, got denied, called reconsider line several time with no luck (too many credit with chase and too many credit application in short time).
Applied for Chase Ink Plus Business today (10/19) and got approved after call reconsider line.
From 1/1/13 to now i have been applied and approved for Amex Gold, Amex Gold Business, Barclay Arrival, Amex Delta Gold, Amex Delta Business, Citi AA Visa, Citi AA Master, Amex Starwood and Federal Credit Union.
I think, if you got denied from Chase you need to close one or some of Chase cards you have and re-apply after 30 days and will get approved.