This article explores an understanding of "learning" as authentic enquiry and "language" as a social practice of meaning construction as the theoretical perspectives underlying an educational initiation beyond mainstream tertiary language education. With a general ethnographic approach and relying on multiple data sources, we investigate critical practices of teaching medical English in an Iranian university and illustrate a contextualized instance of enquiry-based language learning that embodies enquiry and discovery in two senses: students' research and learning about the content for oneself, and moving away from spoon-feeding views of academic language education to experience language in real social contexts. On this basis, we argue for stepping beyond predetermined content-based approaches to university language teaching and call for "living" the language that is being learned, which involves enquiring, experiencing, discovering, challenging, and owning it.