Diptimayee_Mohanty - 10:03 am on Nov 15, 2012 (gmt 0)

As per the interview with Matt Cutts by Danny Sullivan, disavow will take time to not consider the links submitted by user, so there's no specific time mentioned anywhere.

It's also important that which links should be put in disavow, chances are there that links which Google doesn't consider as low quality will be submitted as well.