Composite dark matter models are an interesting class of dark matter candidates that are strongly-self interacting through a dark-sector analogue of the strong nuclear force.  Composite models can have distinctive signatures in a variety of experiments, particularly when they carry Standard Model charges.  However, these charges lead to constraints from collider searches that require such dark matter candidates to be very massive, at least a few hundred GeV.  I will discuss a new model, “hyper-stealth dark matter”, that evades these constraints, leading to a composite dark matter candidate as light as a few GeV.