Although, an unusual request, tummy tucks can be done with the umbilicus removed. Of course, this may raise questions of you when people look at your abdomen.
You should be aware that the appearance of the umbilicus is very important to most patients undergoing tummy tuck surgery because the scar around the umbilicus will likely be the only scar visible in a two piece swimming suit or undergarment ( after tummy tuck surgery). Generally speaking, an umbilicus that is too large, too round, or too flat can be a tell tale sign that they tummy tuck operation has been performed. In other words, a smaller, more oval-shaped umbilicus tends to be more aesthetically pleasing to most patients.
Make your decisions carefully.
Best wishes.