We report on longitudinal field muon spin relaxation measurements in CuMn spin glasses below the freezing temperature Tf. The dynamic relaxation rate λd varies with field as λd ~ B-αwith a temperature dependent exponent α. This confirms a power law decay for the local field autocorrelation function Sd (t) ~ t-γ, but the temperature dependence of the exponent γ is not in agreement with theoretical mean field calculations