Dynamical processes in the atmosphere and ocean are central in determining the large-scale drivers of regional climate change, yet predictive understanding of climate dynamics is poor. In this perspective article, we identify three frontline problems in climate dynamics, in which progress is possible, and which will lead to improved predictions and projections and more robust information for climate change adaptation. These problems involve (i) the response to external forcing of storms, blocks and jet streams, (ii) ocean-basin to ocean-basin and tropical-extratropical teleconnections and (iii) the development of predictive theories of climate dynamics involving non-linear interactions between the dynamics and physics of the atmosphere and ...