Hi @me81 and @living, the studies conducted were specific to early-stage chronic lymphocytic leukemia (CLL) and do not necessarily apply to CML.

Here is the statement on Mayo Clinic's website:
"A green tea extract has shown some promise in initial clinical trials for treating chronic lymphocytic leukemia. Laboratory research determined that a compound in green tea extract, called EGCG, can kill chronic lymphocytic leukemia cells. A study of people with early-stage chronic lymphocytic leukemia found that EGCG in pill form reduced some signs of the disease. But green tea trials haven't been conclusive, and this subject requires more study before doctors can agree on the merits of this treatment."

Before adding green tea to your diet, you should speak with your oncologist.