Patients may not have received any other investigational agents within 4 weeks of study entry Have received any investigational new drug within the past 30 days or planning to receive such during the study period Patients may not be planning to receive any other investigational agents Participants who received investigational agents, other than investigational antiretroviral agents for HIV, within the 4 weeks before randomization, unless approved by the study chair Patients who are receiving any other investigational agents or who have received pomalidomide in the past Participants who received any other chronic (defined as more than 50% of the time in the last 6 months) systemic immunomodulatory agents (replacement doses of steroids for adrenal insufficiency are permitted or treatment with prednisone =< 5 mg/day); receipt of investigational agents within the 4 weeks before randomization enrollment, other than investigational antiretroviral agents for HIV and investigational or approved agents for hepatitis C, are also exclusionary Concurrent administration of any other investigational agents Patients must not receive any other investigational agents while on study or within four weeks prior to registration Participants who are receiving any other investigational agents within 4 weeks prior to enrollment; investigational antiretroviral agents for HIV are acceptable Patients must not be planning to receive any other investigational agents during the course of protocol treatment Patients must not receive any other investigational agents while on study or within four weeks prior to randomization Use of any investigational product within 4 weeks prior to randomization Patients may not be receiving any other investigational agents nor have participated in an investigational trial within the past 4 weeks Any other investigational agents within the past 4 weeks Patients should not have received any other investigational agents within the past 4 weeks Patients who are receiving any other investigational agents; all investigational agents other than ibrutinib must have been discontinued at least 4 weeks prior to beginning treatment; prior ibrutinib therapy must have been discontinued at least 2 weeks prior to beginning therapy Patients must not be receiving or planning to receive any other investigational agents Concurrent anticancer therapy (including other investigational agents) Concomitant therapy with any anticancer agents, immunosuppressive agents, other investigational anticancer therapies Patients must not have received radiation therapy, non-cytotoxic agents or investigational agents or systemic corticosteroids within 14 days prior to registration Participants should not have received any other investigational agents nor have participated in an investigational trial within the past 4 weeks