ATLAS observed a limit for the cross section of dijet resonances, which is weaker than expected for a mass slightly below ≈1  TeV. In addition, CMS reported hints for the (nonresonant) pair production of dijet resonances X via a particle Y at a very similar mass range with a local (global) significance of 3.6σ (2.5σ) at m_X ≈ 950  GeV. In this article, we show that, using the preferred range for m_X from the ATLAS analysis, one can reinterpret the CMS analysis of didijets in terms of a resonant search with Y → XX, with a significantly reduced look-elsewhere effect, finding an excess for m_Y≈ 3.6  TeV with a significance of 4.0σ (3.2σ) locally (globally). We present two possible UV completions capable of explaining the (di)dijet excesses, one containing two scalar diquarks, the other one involving heavy gluons based on an SU(3)₁ × SU(3)₂ × SU(3)₃ gauge symmetry, spontaneously broken to SU(3) color. In the latter case, nonperturbative couplings are required, pointing toward a composite or extradimensional framework. In fact, using 5D anti–de Sitter space-time, one obtains the correct mass ratio for m_X/m_Y, assuming the X is the lowest-lying resonance, and predicts a third (di)dijet resonance with a mass around ≈ 2.2  TeV.