In this article, we take a detailed look at clausal ellipsis in Icelandic, a hitherto understudied phenomenon. We focus on case-matching and case-mismatching facts in fragment responses. We argue that although case matching is the norm, constrained instances of case mismatching strongly suggest that there must be silent structure in the ellipsis site, and some syntactic identity condition. We outline these patterns in detail, and provide an analysis that assumes a post-syntactic approach to case marking, and a hybrid identity condition along the lines of Chung (2013).