Strain-Hardening Cementitious Composites (SHCCs) is an exceptional class of Fiber-Reinforced Cement-based Composites (FRCCs), which yields large inelastic strains through multiple cracking under tensile loading. Such composites appear to be beneficial for different applications in construction industry. On the one hand, they can be used for repair and rehabilitation purposes. On the other hand, they are among the best choices for the loading scenarios, in which ductile behaviour and structural performance is needed in new construction. While SHCCs exhibit high strain capacity under quasi-static monotonic tensile loading and low cycle fatigue loading in pure tension regime, their behaviour under cyclic tension-compression loading is more brittle. The main characteristic feature of the composites in terms of ductility – multiple cracking – diminishes or even disappears and the number of cycles before failure decreases dramatically due to the pronounced damage of polymeric microfibres as a result of forceful closing of the cracks in the compression part of the loading loop, where the fibres experience squashing leading to sever local damages. Some solutions have been proposed to cope with this weakness. The most practical one would be to use alternative types of fibres, which are less vulnerable to tension-compression loading. The presented work examines the crack-bridging behaviour of various high-performance microfibres under such loading regime on the micro-level. A recently developed double-sided fibre pull-out setup and three different types of microfibres, namely polyvinyl-alcohol (PVA), ultra-high-molecular-weight polyethylene (UHMWPE) and as-spun poly(p-phenylene-2,6-benzobisoxazole) (PBO-AS) are used in this investigation. The fibre surfaces are after the test microscopically analysed in order to obtain additional insights into the damage processes.