Continuum robots are able of in-situ inspection tasks in cluttered environments and narrow passages, where conventional robots and human operators cannot intervene. However, such intervention often requires the robot to interact with the environment, and the low stiffness and payload of continuum robots limits their intervention capabilities. In this paper, we propose a paradigm shift from individual to multiple continuum robots, which can reach the target environment from different paths and then physically connect, reconfiguring into a parallel architecture to enhance precision, stiffness, and payload. The main challenges in modelling and controlling cooperative continuum robots are outlined, and an experimental comparison between individual and cooperating continuum robots that connect through a novel shape-memory-alloy-based clutch highlights the advantages of the proposed technology.