This study is for male and female children, adolescents, and young adults under the age of 25 who have been diagnosed with Chronic Myeloid Leukemia (CML) that is in the earliest phase known as the chronic phase. Chronic phase means that the level of disease is very low and is often called molecular remission. To keep the CML at this low level, people typically take a type of drug called a tyrosine kinase inhibitor (TKI), such as imatinib, dasatinib, and nilotinib every day.