I also applied earlier in September - here is my timing:
Account opened on September 4. The first statement cut on September 13 (a day or two after my debit card arrived).
I made my 6 debit card transactions (5 + 1, just to be on the safe side) all on September 18th. My second statement hasn't cut yet, but today I noticed 22,500 miles deposited into my Continental account (dated September 27).
I didn't realize that Chase and Continental "talked" to each other between statement dates, but they apparently do. I'm sure the last 2,500 points will come at some point in the future.