Theres more then 1 identifcation in singapore wat... got
passport, drivers licence, birth cert... etc etc...
Anyway its ok to collect you;re IC late, or even early.... got a
fren, he clearing leave b4 ord, when for long holiday, only collect
his ic a mth later. no problem one lah. its not like you no IC
means u not a singaporean right? 
IC is a small matter. with IC or no IC, u still NSmen, can be
called me at any moment. its juz a symbol of you're ord.