Over the past several years, non-WIMP dark matter candidates have attracted a surge of interest in the particle physics community. In this two-part talk, I will summarize the underlying physics motivation for (and observable consequences of) two such candidates, which share the feature that they are bound states of more familiar constituents. The first part of the talk will examine the astrophysical implications of a dark fermion that forms two-body bound states. The second part of the talk will examine new constraints on the "dibaryon", a hypothetical QCD bound state of six light quarks. The common thread of the talk will be the unique signals of fusion within or into a dark matter sector.
