It totally depends on where you are going and what ID's you will be using, but the ticket name has to match the name on the ID.
So get the ticket in whatever name the ID will be in when you are going to use it.
If your honeymoon is in Hawaii and you live in a state that hands you a new drivers license on the spot when you show up with your old one and a marriage certificate that's a much different situation than waiting to change the name on a passport because the honeymoon is in Europe. One takes ten minutes, the other ten weeks.
Either way, there's no need to wait on buying the ticket, just make sure it's in the name of the ID you will be using when you fly.
But yes, there will be a fee to change the name on the ticket, but you don't have to wait to purchase it until after the wedding if that's the name you will be using for it.