I cleaned ds's twice a day with a q-tip and alcohol (in the morning and at night), and it fell off when he was only 4 days old. I heard varying advice in the hospital from a couple different nurses, but I remember my mom cleaning my little brother's with alcohol, so I just decided to do it that way.
And don't be afraid to "get in there" either, I think that helped it fall off earlier by really giving it a good clean!
Whiskers