Recent developments in video streaming applications have contributed to the increase of traffic over already highly loaded networks. These advancements have brought to public attention the need to develop new methods which can help control the network traffic. As the increase in network traffic is expected to continue, it becomes obvious that the existent IP-based network infrastructure struggles to meet the traffic demand. To address this issue a novel internet architecture, Content Centric Network (CCN), has gained attention in the recent years. CCN aims to replace the host-to-host communication structure with a named based content delivery approach. In this context, there is a need to perform video delivery over CCN such as to satisfy users' expectations and a good solution includes adaptive video streaming in CCN. This paper proposes an innovative Buffer-Aware Dynamic Adaptive Streaming solution over CCN (BADASC). The solution leverages the playback-buffer capacity to determine the rate at which the video is delivered to ensure high user satisfaction.