This April 9 article from Fortune talks about the types of legal issues implicated by this emerging industry. I like this summary from Brendan Shulman:

Given the myriad applications for the technology, the scope of “drone law” is broad, stretching from freedom of speech and press concerns to issues around intellectual property or land use rights, as well as more practical matters of insurance and liability.

Translation: This won’t just be about how the government regulates unmanned air systems. Drones, or unmanned aircraft systems, will become intertwined with many aspects of our lives and our business environment.

Consider this bizarre incident in which a woman attacked a young man on a Connecticut beach for operating an aerial photography drone. In addition to the criminal offenses committed, the incident raises legal questions regarding the limits of privacy, property rights, and the freedom to simply take photographs in the public square.