We report the results of a (63,65)Cu NMR/NQR study probing the intermetallic compound PrCu(2). The previously claimed onset of magnetic order at 65 K, indicated in a muon spin resonance study, is not confirmed. Based on our data, we discuss different possible reasons for this apparent discrepancy, including a non-negligible influence of the implanted muons on their environment. Competing dipolar and quadrupolar interactions lead to unusual features of the magnetic-ion/conduction-electron system, different from those of common intermetallics exhibiting structural or magnetic instabilities.