This paper revisits the concept of Cognitive Innovation with the aim of helping newcomers appreciate its (intended) demarcating purpose and relevance to the wider literature on cognition and creativity in the humanities, arts, and sciences. Particular emphasis is paid to discussion of the pitfalls of sense-making and the concept’s affordance. The main argument presented is that proponents of the concept face the dilemma of seeking to demonstrate its transdisciplinary nature and applicability vis-a-vis retaining its semantic distinctness. Proceeding from a classification of Cognitive Innovation as a dispositional construct, we discuss how it feeds into existing research approaches and opens up new sensibilities in related areas. The perspectives of temporality, interdisciplinary balancing, technology, and metatheories are proposed as promising areas for future elaboration of the function of Cognitive Innovation.