The nuclear clustering problem is treated microscopically using the shell model configuration interaction approach. The approach, referred to as Cluster-Nucleon Configuration Interaction Model, is facilitated by the SU(3) symmetry of the cluster channels and by Orthogonality Condition Model. The spectroscopic factors for the 6 He+α channel for states of the radioactive nucleus 10 Be are computed. A number of states with pronounced α-clustering properties is predicted. The results are compared to the experimental data.