Several spin systems with low dimensionality develop a spin-dimer phase within a molecular orbital below T S , competing with long-range antiferromagnetic order. Very often, preferential orbital occupancy and ordering are the actual driving force for dimerization, as in the so-called orbitally driven spin-Peierls compounds (MgTi 2 O 4 , CuIr 2 S 4 , La 4 Ru 2 O 10 , NaTiSi 2 O 6 , etc.). Through a microscopic analysis of the thermal conductivity κ(T) in La 4 Ru 2 O 10 , we show that the orbital occupancy fluctuates rapidly above T S , resulting in an orbital-liquid state. The strong orbital-lattice coupling introduces dynamic bond-length fluctuations that scatter the phonons to produce a κ (T) ∼ T (i.e., glasslike) above T S . This phonon-glass to phonon-crystal transition is shown to occur in other spin-dimer systems, like NaTiSi 2 O 6 , pointing to a general phenomenon.