Recurrent Lymphoblastic Lymphoma

This phase I trial tests the safety, side effects and best dose of anti-CD19/20/22 chimeric antigen receptor (CAR) T cells (TriCAR19.20.22 T cells) and how well they work in treating patients with non-Hodgkin lymphoma, acute lymphoblastic leukemia (ALL) and chronic lymphocytic leukemia (CLL) that has come back after a period of improvement (relapsed) or that has not responded to previous treatment (refractory). CAR T-cell therapy is a type of treatment in which a patient's T cells (a type of immune system cell) are changed in the laboratory so they will attack cancer cells. T cells are taken from a patient's blood. Then the gene for a special receptor that binds to a certain protein, such as CD19, CD20 and CD22, on the patient's cancer cells is added to the T cells in the laboratory. The special receptor is called a CAR. Large numbers of the CAR T cells are grown in the laboratory and given to the patient by infusion for treatment of certain cancers. Giving TriCAR19.20.22 T cells may be safe, tolerable, and/or effective in treating patients with relapsed or refractory non-Hodgkin lymphoma, ALL and CLL.