How the behavior of cells in living tissues is orchestrated according to tissue needs, size, and developmental stage is still poorly understood. Advances in these directions are essential to understand morphogenesis, ‘self-organization' phenomena, to build new tissues for regenerative medicine or to reverse the changes in deranged organs, such as in cancer or in genetic disorders. This review outlines a new scenario by which the crosstalk between the Yes-associated protein/transcriptional coactivator with PDZ-binding motif (YAP/TAZ) transcription factors and Notch signaling influences cell self-renewal, stem cell differentiation, cell fate decisions, epithelial–stromal interactions, inflammation, morphogenesis, and large-scale gene oscillations.