5G mobile communication infrastructure attracts increasing attention of stakeholders, going beyond only interconnection of people and increasingly serve to connect and manage 5G-enabled IoT devices. Among others, unmanned aerial vehicles (UAVs) or systems (UAS) already rely on 5G communication infrastructure and in the near future are envisioned to use it even more. 5G systems already support a wide-variety of different applications, such as remote healthcare, self-driving ground vehicles, virtual or augmented reality, drones, surveillance and many more. Among these is the high-resolution video surveillance using drones for different purposes. In road traffic analysis, one of the most important public safety applications, the low compressed or uncompressed video stream can greatly improve the analysis and traffic incident detection performance. On the other hand it is challenging to transmit high-resolution video stream in real time due to its data size. This paper provides an overview of the current research in the area of UAV command and control using 5G systems describing basic concepts and challenges. We review some of the latest research in regard to real-time high-resolution video transfer. A brief discussion of experiments on the 5G private campus network communication between a drone and a ground analytical system is presented.