A Rollover Study of CC-122

Key Inclusion Criteria: * Participant who is currently receiving CC-122 on another CC-122 clinical trial that has met its primary and secondary endpoints. * Participant who has participated in previous CC-122 protocol (including CC-122-ST-001 \[NCT01421524\], CC-122-ST-002 \[NCT02509039\], CC-122-DBCL-001 \[NCT02031419\], and CC-122-NHL-001 \[NCT02417285\]), and is deemed by the investigator to be deriving benefit from CC-122 as defined by the previous protocol. * Participant who is able to tolerate study therapy and has not yet experienced progressive disease or any treatment discontinuation criteria of the Parent Study. Key Exclusion Criteria: * Participant is not eligible for CC-122 treatment as per the Parent Study. * Participants not receiving clinical benefit as assessed by the investigator. Any clinical AE, laboratory abnormality, or intercurrent illness which, in the opinion of the investigator, indicates that participation in the study is not in the best interest of the participant. * Women who are breastfeeding. Note: Other protocol-defined inclusion/exclusion criteria apply.