Will tip of the nose come down some after bandages removed after Rhinoplasty?

In general, it is not abnormal for the tip to be turned up more than usual after surgery. It settles to its final position after a few weeks to a few months. The final result of surgery may not be evident for 18-24 months. It is important to be patient during the healing process, as it can take some time. I would recommend following up with your surgeon, as he/she knows the details of your procedure and will be able to advise you. I hope this helps, and I wish you the best of luck. 

The tip is usually taped up after tip surgery The tip will
then drop a fair bit over the next month or so, then it will slowly drop over
the next 12-18months as the nose settles down.

As the tip heals it will rotate downward. This begins once the dressing is removed. You can't judge results at 3 days after surgery. I tell my patients not to worry because if its not rotated up too high immediately after surgery then it will drop too low after the procedure. Be patient and give yourself time.

It takes unto 12 months for one to see the final outcome. As the scars remodel beneath the skin, nose shape gets better refined. 

It is not unusual for the tip of the nose to be raised after a rhinoplasty.  This is temporary and will generally improve with time.  Follow the recommendations of your plastic surgeon