The authors argue that a more complete understanding of how people produce and comprehend language will require investigating real-time spoken-language processing in natural tasks, including those that require goal-oriented unscripted conversation. One promising methodology for such studies is monitoring eye movements as speakers and listeners perform natural tasks. Three lines of research that adopt this approach are reviewed: (i) spoken word recognition in continuous speech, (ii) reference resolution in real-world contexts, and (iii) real-time language processing in interactive conversation. In each domain, results emerge that provide insights which would otherwise be difficult to obtain. These results extend and, in some cases, challenge standard assumptions about language processing.