1 - Make sure you're told the effective dating.
This is very important because any ongoing or scheduled appointments not covered by the new carrier can end up billing for (not having insurance)
My HR department didn't remind me and my Husband didn't think to ask. We waited for the forms to show proof of our marriage so that my employer could decline my coverage due to a qualifying event.
2 - she never told me that the company doesn't retro-date our insurance. Yep, that means for the month we waited to show proof of our marriage and even then only a copy, his employer retro dated our ins. my employer said they don't and only credited me for one month.
3- In the short end. If you have any questions about your benefits and don't want this bad experience to happen to you, def know your playing cards and ask.