Graphene has recently received widespread attention, after the discovery of its stability as a 2Dcrystal at ambient conditions and thanks to a wealth of possible applications. Recent theoreticalcalculations indicate that the most stable defects in the graphene structure carry effectively amagnetic moment, in particular in the presence of partial hydrogen saturation of dangling bonds;this effect is not present in 3D graphite, since neighbouring graphene planes tend to bridge at thedefect position, implying a non-magnetic state. In this experiment we intend to investigate with ZFand LF µSR the local magnetic moment nearby the graphene defects, either produced by themuon itself or induced by extrinsic neutron radiation damage. The suitable amount of graphene forthe µSR experiments is obtained by exfoliation of high-purity powder graphite through controlledexfoliation procedures.