Recently, there have been contrary claims of Kitaev spin-liquid behavior and ordered behavior in the honeycomb compound Ag 3 LiIr 2 O 6 based on various experimental signatures. Our investigations on this system reveal a low-temperature ordered state with persistent dynamics down to the lowest temperatures. Magnetic order is confirmed by clear oscillations in the muon spin relaxation (μSR) time spectrum below 9 K until 52 mK. Coincidentally in 7 Li nuclear magnetic resonance, a wipeout of the signal is observed below ∼10 K, which again strongly indicates magnetic order in the low-temperature regime. This is supported by our density functional theory calculations which show an appreciable Heisenberg exchange term in the spin Hamiltonian that favors magnetic ordering. The 7 Li shift and spin-lattice relaxation rate also show anomalies at ∼50 K. They are likely related to the onset of dynamic magnetic correlations, but their origin is not completely clear. Detailed analysis of our μSR data is consistent with a coexistence of incommensurate Néel and striped environments. A significant and undiminished dynamical relaxation rate (∼5 MHz) as seen in μSR deep into the ordered phase indicates enhanced quantum fluctuations in the ordered state.