Over the last several decades, the light-harvesting protein complexes of purple bacteria have been among the most popular model systems for energy transport in excitonic systems in the weak and intermediate intermolecular coupling regime. In spite of this extensive body of scientific work, significant questions regarding the excitonic states and the photoinduced dynamics remain. Here, we address the low-temperature electronic structure and excitation dynamics in the light harvesting complex 2 (LH2) of Rhodopseudomonas (Rh.) acidophila by 2D electronic spectroscopy. We find that, although energy relaxation is very rapid, exciton mobility is limited over a significant range of excitation energies. This points to the presence of a sub-200 fs, spatially local energy relaxation mechanism, and suggests that local trapping might contribute substantially more in cryogenic experiments than under physiological conditions where the thermal energy is comparable to-or larger than-the static disorder.