We consider the direct and indirect detection signatures of WIMPs χ in kinematic regimes with a heavier, but nearly degenerate, charged state χ. For small splittings of O(10) MeV, the scattering of WIMPs off nuclei may be dominated by inelastic recombination processes mediated by the formation of (χN) bound states, leading to a distinct signature for direct detection. These cross-sections are b...