This Phase 1/1b open-label study consists of two parts. The initial portion is a Phase 1 dose-escalation study evaluating the safety and tolerability of TRU-016 administered over a 4-week period to patients with relapsed chronic lymphocytic leukemia (CLL). It will identify the MTD and evaluate the pharmacokinetics and immunogenicity of TRU-016. Upon demonstrating satisfactory safety and tolerability in the Phase 1 portion, a Phase 1b expansion cohort will be enrolled to further characterize the safety of the selected dose from the first stage of the study and safety and to estimate the clinical activity of TRU-016 in patients with treatment-naive CLL, relapsed CLL and non-Hodgkin's lymphoma.