A fundamental aspect of plant development is the coordination of growth through endogenous signals and its integration with environmental inputs. Similar to animals, plants frequently use cell surface-localized receptors to monitor such stimuli, for instance through plasma membrane-integral receptor-like kinases (RLKs). Compared to other organisms, plants possess a large number of RLKs (more than 600 in Arabidopsis thaliana), which implies that ligand-receptor-mediated molecular mechanisms regulate a wide range of processes during plant development. Here, we focus on A. thaliana RLKs of the CLAVATA 1 (CLV1) type, which orchestrate key steps during plant development, including the regulation of meristem maintenance, anther development, vascular tissue formation, and root system architecture. These receptors are regulated by small signalling peptides that belong to the family of CLE (CLV3 / EMBRYO SURROUNDING REGION) ligands. We discuss different aspects of plant development that are regulated by these receptors in light of their molecular mechanism of action. As so often, the intensive research on this group of plant RLKs has raised many intriguing questions, which remain to be answered.