We report measurements of the London penetration depth [∆λ(T )] of the recently discovered ironbased superconductor (Li1−xFex)OHFeSe, in order to characterize the nature of the superconducting gap structure. At low temperatures, ∆λ(T ) displays nearly temperature independent behavior, indicating a fully open superconducting gap. We also analyze the superfluid density ρs(T ) which cannot be well accounted for by a single-gap isotropic s-wave model but are consistent with either two-gaps, a model for the orbital selective s × τ3 state or anisotropic s-wave superconductivity.