Clefts are intricate objects which, starting with Jespersen (1937), have motivated much work in descriptive and formal linguistics. Nonetheless, almost a century later their exact internal structure and status are still widely debated, therefore a multidisciplinary volume on this theoretically complex structure across different languages of the world is greatly needed. The articles featured in this volume follow an in-depth Introduction written by the editors, in which we offer a survey of the state-of-the-art on clefts by way of a strong contextualisation to the volume, including a number of robust empirical observations on the morphosyntactic and interpretational properties of these structures in numerous standard and non-standard Romance varieties, as well as a critical presentation of the contributions included in the volume. Among other things, the ten selected articles propose new insights into the widely-reported interpretational asymmetry between subject and object clefts, the features involved in their derivation, the ways in which the low and high peripheries are variously exploited in the derivation, the morphosyntactic and interpretational differences between clefts and their non-cleft counterparts, the role and formal properties of the copula, the notion of sub-extraction of features, a reconsideration of the very notion of focus via clefting, and much more. The volume, written by renown experts, offers an in-depth overview of the structure of it-clefts, taking into account different and complementary fields of the study of linguistics (cartography, quantitative methods, experimental investigations, nanosyntax, typology and dialectology) and robust empirical data from numerous languages including Romance varieties, Hungarian, Mandarin Chinese, and two Spanish- and French-lexifier creoles. Our belief is that the synchrony of clefts will only be appropriately understood once diachronic, typological, historical, experimental and dialectological aspects are all brought together. We offer through this volume a first attempt at providing such a variegated picture of the cross-linguistic morphosyntax of it-clefts.