Branched ubiquitin chains are complex molecular structures in which two or more ubiquitin moieties are attached to distinct lysine residues of a single ubiquitin molecule within a polyubiquitin chain. These bifurcated architectures significantly expand the signalling capacity of the ubiquitin system. Although branched chains constitute a substantial fraction of cellular polyubiquitin, their biological functions largely remain enigmatic due to their complex nature and the associated technical challenges of studying them. Recent technological innovations have enabled the identification of key molecular players and revealed essential roles for branched chains in diverse cellular processes. In this review, we discuss the bespoke strategies that have driven these discoveries, as well as the technologies needed to advance this rapidly evolving field.