In so taking of the name of her husband, she identifies as one with him in this covenant. To call ourselves by a name is to identify our allegiance. We all have family names which identify us. If we are in a civic club, such as the Lions, we identify ourselves by that name. We call ourselves by names to identify our allegiance, our loyalty.
Names do mean something significant.
They tell us who we are. And for someone to ridicule our name, would be the same as ridiculing our character. To trivialize our name is to ridicule our person. God has revealed His nature to us through His name. You can readily see why God does not want His name taken lightly.