Despite the remarkable successes obtained by the cluster models, the physical observables that are directly related to the cluster degree of freedom is not available until very recent studies of α-transfer reactions and α-knockout reactions. We introduce the microscopic structure models into the theoretical frameworks for α-knock out reactions to probe the α-clustering in 10Be nucleus. In this work, we integrate the THSR wave function and the distorted wave impulse approximation (DWIA) framework, and make calculation for the 10Be(p,pα)6He reaction at 250MeV. We predict the triple differential cross sections (TDX). We further construct artificial states with extreme shell-model like or gas like states for the target nucleus 10Be, and find the strong dependence of the TDX on the α-clustering structure. With this new framework, we may directly relate the microscopic description of α-clustering structure to the reaction observables in the (p,pα) knockout reaction, and provide sensitive manifestation of α-clustering in the 10Be nucleus. We are further extending this framework to the α-knockout reaction for the 12Be nucleus.