Autologous T cells are engineered to express a glypican-3 (GPC3)-specific chimeric antigen receptor that recognizes GPC3 on tumor cells and activates T-cell cytotoxicity; co-expression of IL-15 and IL-21 provides autocrine signaling to enhance proliferation, survival, and persistence; an inducible caspase-9 (iCasp9) safety switch enables rapid elimination of the cells upon administration of a dimerizer drug.