Still waiting.. I applied to just one school (Columbia U) as well on Oct 1st... but my LORs came a little later (they said a week or two is acceptable) so actually it's just been a couple days for me after I got everything settled. Their application was not open till beginning of September tho.. so they only gave us a month's window which is fairly short compared to fall.
I was trying to find the timeline for Spring admission in previous years but did not find anything... So now I am wondering if there were very few people applying in the Spring semester (this is a fairly large program). Anyway, no news is good news! I guess we just have to be patient. I am actually doing a graduate program already at Columbia U so this is just an 'transfer' but they do not allow transfers between programs.
Hope for the best!