Lu3Os4Ge13 is an interesting superconducting system, with potentially unconventional physics. It is a low carrier density semi-metal, exhibiting superconductivity at 3.1 K. This is a continuation proposal, for we have previously conducted a MuSR experiment on a polycrystalline sample of this system. This led to some exciting results, as time-reversal symmetry appears to have been broken, indicating that this system may exhibit spin-triplet Cooper pairing. The material also appears to have two superconducting gaps. This experiment aims to confirm our previous findings on a high quality, single crystal sample, with the potential for an exciting publication and a new direction for superconductor physics.