The Kondo effect, an eminent manifestation of many-body physics in condensed matter, is traditionally explained as exchange scattering of conduction electrons on a spinful impurity in a metal [1, 2]. The resulting screening of the impurity's local moment by the electron Fermi sea is characterized by a Kondo temperature T K , below which the system enters a non-perturbative strongly-coupled regime. In recent years, this effect has found its realizations beyond the bulkmetal paradigm in many other itinerant-electron systems, such as quantum dots in semiconductor heterostructures [3, 4] and in nanomaterials [5-7], quantum point contacts [8,9], and graphene [10]. Here we report on the first experimental observation of the Kondo screening by chargeless quasiparticles. This occurs in a charge-insulating quantum spin liquid, where spinon excitations forming a Fermi surface take the role of conduction electrons. The observed impurity behaviour therefore bears a strong resemblance to the conventional case in a metal. The discovered spinonbased Kondo effect provides a prominent platform for characterising and possibly manipulating enigmatic host spin liquids.The Kondo screening of a magnetic impurity embedded in a quantum spin liquid (Fig. 1), a highly-quantumentangled yet magnetically disordered state where charge degrees of freedom are frozen, has been the subject of theoretical investigations for more than two decades [11][12][13][14][15][16][17]. In this case, the itinerant electrons of the standard Kondo picture are effectively replaced by emergent fractional magnetic excitations, inherent to any spin liquid. Due to a large variety of essentially different low-energy excitations, spin liquids should be particularly versatile hosts of Kondo physics. In the case of spinon excitations with a Fermi surface -a spinon metal -a Kondolike effect similar to the one in an ordinary metal is expected [13,15]. However, emergent gauge fields mediating spinon-spinon interactions could cause deviations from the generic Fermi-liquid Kondo behaviour. As the spin-liquid Kondo effect has not yet been conclusively confirmed by experiment, these theoretical predictions remain to be verified.Zn-brochantite, ZnCu 3 (OH) 6 SO 4 , is a particularly well-suited compound for investigating the Kondo effect in a spin liquid. This quantum kagome antiferromagnet [2] is one of only a few examples where a spin-liquid state remains stable down to the lowest experimentally 0 1 2 3 0.0 0.5 1.0 1.5 T c weak Kondo coupling spin-polarized impurities T* T K strong Kondo coupling T (K) B (T) gapped spin liquidPhase diagram of Zn-brochantite. Kondo screening of impurity spins (large arrows) by spinons (small arrows) in the spin-liquid state of Zn-brochantite, with the Kondo temperature TK = 1.3 K. The intensity of the blue hue indicates the slope of the imaginary part of the dynamical impurity spin susceptibility χ (ω)/ω at frequency ω → 0. The dotted line marks the contour corresponding to the value at TK and B = 0. The temperature T * denotes the crossover ...