We analyze various contributions to neutrinoless double beta decay (0νββ) in a TeV-scale Left-Right Symmetric Model (LRSM) for type-I seesaw dominance. We find that the momentum-dependent effects due to W L − W R exchange (λ-diagram) and W L − W R mixing (η-diagram) could give dominant contributions to the 0νββ amplitude in a wide range of the LRSM parameter space. In particular, for a relatively large W L − W R mixing, the η-contribution by itself could saturate the current experimental limit on the 0νββ half-life, thereby providing stringent constraints on the relevant LRSM parameters, complementary to the indirect constraints derived from lepton flavor violating observables. In a simplified scenario parametrized by a single light-heavy neutrino mixing, the inclusion of the λ and η contributions leads to significantly improved 0νββ constraints on the light-heavy neutrino mixing as well as on the W L − W R mixing parameters. We also present a concrete TeV-scale LRSM setup, where the mixing effects are manifestly enhanced, and discuss the interplay between 0νββ, lepton flavor violation and electric dipole moment constraints.