Patients must not have any other serious concurrent disease or have a history of serious organ dysfunction or disease involving the heart, kidney, liver, or other organ system that would put the patient at undue risk of undergoing therapy Have any other severe concurrent disease, or have a history of serious organ dysfunction or disease involving the heart, kidney, liver, or other organ system that may place the patient at undue risk to undergo treatment Any other severe concurrent disease, or history of serious organ dysfunction or disease involving the heart, kidney, liver or other organ system that, in the investigator’s opinion, may place the patient at undue risk to undergo therapy with ibrutinib. Have any other severe concurrent disease, or have a history of serious organ dysfunction or disease involving the heart, kidney, liver, or other organ system that may place the patient at undue risk to undergo treatment Have any other severe concurrent disease, or have a history of serious organ dysfunction or disease involving the heart, kidney, liver, or other organ system that may place the patient at undue risk to undergo treatment Any other severe concurrent disease, or have a history of serious organ dysfunction or disease involving the heart, kidney, liver, or other organ system that may place the patient at undue risk to undergo the proposed therapy; this includes uncontrolled hypertension and uncontrolled diabetes, as cases of life threatening hyperglycemia have been reported (using continuous infusion at higher doses of omacetaxine) Have any other severe concurrent disease, or have a history of serious organ dysfunction or disease involving the heart, kidney, liver, or other organ system that may place the patient at undue risk to undergo treatment Any other severe concurrent disease, or have a history of serious organ dysfunction or disease involving the heart, kidney, liver or other organ system that may place the patient at undue risk to undergo therapy with ibrutinib and rituximab Have any other severe concurrent disease, or have a history of serious organ dysfunction (e.g. uncontrolled or severe cardiovascular disease, diabetes, pulmonary disease, infection, psychiatric illness) that may in the judgment of the treating physician/ principal investigator place the patient at undue risk to undergo treatment History of serious organ dysfunction or disease involving the heart, kidney, liver or other organ system that may place the patient at undue risk to undergo treatment Any other severe concurrent disease, or serious organ dysfunction or disease involving the heart, kidney, liver, or other organ system that may place the patient at undue risk to undergo the proposed therapy Current life-threatening illness, medical condition, or organ system dysfunction which, in the Investigator’s opinion, could compromise the patient’s safety, or put the study at risk; any other severe concurrent disease, or have a history of serious organ dysfunction or disease involving the heart, kidney, liver or other organ system that may place the subject at undue risk to undergo therapy with ibrutinib Have other severe concurrent disease or serious organ dysfunction involving the heart, kidney, liver or other organ system that may place the patient at undue risk to undergo treatment including uncontrolled hypertension, uncontrolled cardiac arrhythmias, symptomatic congestive heart failure, unstable angina, or myocardial infarction within the past 6 months Have other severe concurrent disease or serious organ dysfunction involving the heart, kidney, liver or other organ system that may place the patient at undue risk to undergo treatment Any other severe concurrent disease, or have a history of serious organ dysfunction or disease involving the heart, kidney, liver, or other organ system that may place the participant at undue risk to undergo treatment