dc-magnetization data measured down to 40 mK speak against conventional freezing and reinstate YbMgGaO4 as a triangular spin-liquid candidate. Magnetic susceptibility measured parallel and perpendicular to the c-axis reaches constant values below 0.1 and 0.2 K, respectively, thus indicating the presence of gapless low-energy spin excitations. We elucidate their nature in the triple-axis inelastic neutron scattering experiment that pinpoints the low-energy (E ≤ J0 ∼ 0.2 meV) part of the excitation continuum present at low temperatures (T < J0/kB), but completely disappearing upon warming the system above T J0/kB. In contrast to the high-energy part at E > J0 that is rooted in the breaking of nearest-neighbor valence bonds and persists to temperatures well above J0/kB, the low-energy one originates from the rearrangement of the valence bonds and thus from the propagation of unpaired spins. We further extend this picture to herbertsmithite, the spin-liquid candidate on the kagome lattice, and argue that such a hierarchy of magnetic excitations may be a universal feature of quantum spin liquids.Introduction.-Quantum spin liquids (QSLs) have a special place in condensed-matter physics as states with unconventional excitations solely driven by spin degrees of freedom in the absence of charge and orbital fluctuations. The QSL physics may be behind many intriguing phenomena studied over the last decades, including the high-temperature superconductivity [1,2]. Exotic properties of the QSLs are also central to new technologies, such as topological quantum computing [3]. The prototype of a QSL was proposed by Anderson back in 1973 as a resonating-valence-bond (RVB) state, a superposition of many different partitions of the triangular spin network into valence bonds (VBs, spin-0 singlets), 1