I do not know how much is in place already with regards to regulation but you can be damn sure nations and people will be tripping over themselves once someone does find a means to make money using the moon for resources.
the fantasies of space elevators appeal the geek/nerd in many of us but as a world we are far from the need of one if not too far from being united to having one. throw in there are just enough parties with the means to damage or destroy the ground side of one if ever built