Patients who experience either no toxicity, grade I-II toxicity that has resolved by the time of clinical response assessment and who have had no response or only a partial response to therapy can receive a second course of alemtuzumab after week 12. The second course of alemtuzumab will be a 4-week course at the same dose and schedule as the first course of treatment. Patients who have complete response and resolution of their chronic GVHD will not be retreated regardless of toxicity. Patients with any grade IV toxicity will not be retreated regardless of their response. Toxicity associated with second courses of therapy will not be used in the assessment of the MTD.