We provide a quantum benchmark for teleportation and storage of single-mode squeezed states with zero displacement and completely unknown degree of squeezing along a given direction. For pure squeezed input states, a fidelity higher than 81.5% has to be attained in order to outperform any classical strategy based on estimation of the unknown squeezing and repreparation of squeezed states. For squeezed thermal input states, we derive an upper and a lower bound on the classical average fidelity, which tighten for moderate degree of mixedness. These results enable a critical discussion of recent experiments with squeezed light. Quantum entanglement is the key resource that allows a sender (Alice) and a receiver (Bob) to beat any classical strategy for transmitting and storing quantum states. In realistic implementations, however, the quality of transfer/storage is limited by factors such as imperfections and losses. To decide whether an experiment demonstrates a genuinely quantum feature, one needs appropriate figures of merit and appropriate benchmarks in terms of them. The typical figure of merit characterizing quantum teleportation (from now on we restrict to this protocol, bearing in mind that our results equally apply to state storage too) is the fidelity [10]between the unknown input state ̺ in to be teleported by Alice and the output state ̺ out which is actually obtained by Bob. To conclude that a quantum demonstration has taken place, the fidelity F has to beat the best possible fidelity F cl -usually called classical fidelity threshold (CFT)-achievable by two cheating parties who have access to unlimited "classical" means (local operations and classical communication) but are not able to share entanglement, nor to directly transmit quantum systems [11]. Under this restriction, the only possibility for Alice and Bob is a "measure-and-prepare" strategy, where Alice measures the input system and communicates the outcome to Bob, who prepares the output according to her prescription. Devising the CFT is hence a problem of quantum estimation [12].In the CV setting, the CFT has been only assessed for the special instance of pure coherent input states [11,13]. In the limit case of completely unknown coherent amplitude, it yields the benchmark F cl coh = 1/2, which has been extensively employed to validate experiments [7,8,9]. However, no such threshold is known for the case of squeezed states, which are currently drawing attention as input states of transfer protocols: the high-fidelity teleportation of squeezed states may enable cascading of teleportation, resulting in the construction of non-Gaussian gates (e.g. the cubic phase gate), useful to achieve universal CV quantum computation [6]. The lack of a CFT for squeezed states makes the validation of experiments a rather controversial issue, as there is no clear way to establish whether the achieved performances are signatures of a genuinely quantum information processing.In this Letter we provide the first quantum benchmark for teleportation and storage of sin...