We demonstrate via a muon spin rotation experiment that the electronic ground state of the iridium spinel compound, CuIr2S4, is not the presumed spin-singlet state but a novel paramagnetic state, showing a quasistatic spin glass-like magnetism below ∼100 K. Considering the earlier indication that IrS6 octahedra exhibit dimerization associated with the metal-to-insulator transition below 230 K, the present result suggests that a strong spin-orbit interaction may be playing an important role in determining the ground state that accompanies magnetic frustration.PACS numbers: 75.70. Tj, 75.10.Jm, 75.25.Dk, 76.75.+i Geometrical frustration in electronic degrees of freedom such as spin, charge, and orbit, which is often realized in highly symmetric crystals, has been one of the major topics in the field of condensed matter physics. Inorganic compounds with the AB 2 X 4 spinel structure have offered fascinating insights from the viewpoint of their unusual physical properties relevant to geometrical frustration. The thiospinel compound, CuIr 2 S 4 , is such a recent example, in which a charge order of mixed-valent Ir ions into isomorphic octamers of Ir -7]. As per the currently accepted scenario regarding the t 2g manifold, the frustration is relieved by the formation of Ir 4+ (5d 5 , S = 1/2) dimers that accompany the spin-singlet ground state driven by orbital order and the associated spin-Peierls instability [8].Meanwhile, it has been revealed in the iridium compound Sr 2 IrO 4 that the crystal field levels of Ir 4+ ions in the insulating phase are reconstructed into a complex spin-orbital state represented by effective total angular momenta of J eff = 1/2 and 3/2, where the halffilled J eff = 1/2 level serves as a novel stage of the Mott transition due to on-site Coulomb interaction [9,10]. The strong SO coupling entangles the spin and orbital degrees of freedom, where the magnetic interaction of corner-shared Ir 4+ O 6 octahedra is modeled by the lowenergy effective Hamiltonian consisting of terms representing the Heisenberg model, quantum compass model, and Dzyaloshinskii-Moriya (DM) interaction [11]. The model has been successful in providing a microscopic account of the canted spin structure along the xy-plane in Sr 2 IrO 4 as observed via resonant x-ray diffraction using L edge (2p → 5d) [10], wherein the interplay between the "compass" and DM interactions is a crucial factor.Interestingly, the same model predicts a completely different effective Hamiltonian for edge-shared Ir 4+ O 6 octahedra, which is dominated by the quantum compass interaction [11],where S γ i (γ = x, y, z) denotes the γ-component of the S = 1/2 pseudospin operator S i defined for the J eff = 1/2 ground state, J ≃ 2J H /3U with J H and U denoting the Hund's coupling and on-site Coulomb energy, respectively, and the entire energy is scaled by 4t 2 /U with t denoting the dd-transfer integral through an intermediate anion. The form of exchange interaction depends on the spatial orientation of a given bond, thereby leading to a highly anis...