LSEguy - You should contact INSEAD for that immediately. I got the below email on Sept 30th. And to my knowledge, one should get this email within 1 to 3 days from the submission date. There is no harm in just calling the regular number and making sure that they have received the application and that they will respond soon.
Dear *****
Thank you very much for applying to the INSEAD MBA Programme. I am pleased to inform you that I have received your application package and will be your primary contact during the Admissions Process. I have thoroughly checked the elements you sent and I am happy to confirm your file is now complete and ready to be reviewed for Round 1 on the September 2012 intake. ** As per our Staged Admissions dates, 4 November 2011 is the latest date by which you should hear from us. For more details on our Admissions process, please feel free to consult our website on this given link.