Inclusion Criteria:

          -  Pathology confirmed relapsed or refractory T-cell lymphoma (PTCL and stage >IBCTCL) at
             treating institution

          -  Relapse or progression after at least 1 systemic therapy

          -  Age ≥18 years at the time of signing the informed consent form

          -  Able to adhere to the study visit schedule and other protocol requirements

          -  Previous systemic anti-cancer therapy must have been discontinued at least 3 weeks
             prior to treatment in this study. If there is progression of disease on that therapy
             and all adverse effects have resolved to Grade 1 or baseline, in which case 2 weeks is
             acceptable

          -  Previous radiation, hormonal therapy, and surgery must have been discontinued at least
             2 weeks prior to treatment in this study and adverse effects must have resolved. Lymph
             node or other diagnostic biopsy within 2 weeks is not considered exclusionary

          -  Systemic corticosteroids are permissible in the following circumstances:

          -  Short course systemic corticosteroids for disease control, improvement of performance
             status or non-cancer indication (≤ 7 days) must have been discontinued at least 7 days
             prior to study treatment.

          -  Ongoing administration of a stable dose of corticosteroid therapy (previously received
             for ≥ 30 days) is permissible provided there is evidence of measurable disease and
             there will be no increase in steroid dose during the clinical trial

          -  ECOG performance status of ≤ 2 at study entry

          -  Patients who have undergone autologous stem cell transplant > 6 months prior are
             eligible

          -  Patients who have undergone allogeneic stem cell transplant > 12 months, without
             active graft-versus-host-disease, and not on immunosuppression for prevention of
             graft-versus-host disease are eligible

          -  Laboratory test results within these range:

          -  Adequate hematologic function with screening laboratory assessment defined as:

          -  Absolute neutrophil count >1,000 cells/mm3 (1.0 x 10^9/L)

          -  Platelet count >75,000 cells/mm3 (75 x 10^9/L), if thrombocytopenia is due to bone
             marrow involvement platelet count must be ≥ 50,000 cells/mm3

          -  Hemoglobin >8.0 g/dL

          -  Adequate hepatic and renal function with screening laboratory assessment defined as:

          -  Serum aspartate transaminase (AST) or alanine transaminase (ALT)

             ≤2.5 x upper limit of normal (ULN)

          -  Creatinine <2.0 x ULN or Estimated Glomerular Filtration Rate GFR [Cockcroft-Gault] >
             30 mL/min.

          -  Bilirubin <1.5 x ULN [unless bilirubin rise is due to Gilbert's syndrome (as defined
             by >80% unconjugated hyperbilirubinemia) or of nonhepatic origin]

          -  Females of childbearing potential (FCBP)† must have a negative serum pregnancy test
             and agree to use appropriate methods of birth control

        Exclusion Criteria:

          -  Patients who have a standard curative option for their lymphoid malignancy at current
             state of disease are excluded. For eligibility on this trial, allogeneic stem cell
             transplantation is not considered a standard curative option

          -  Concurrent systemic immunosuppressant therapy (eg, cyclosporine A, tacrolimus, etc.)
             within 28 days of the first dose of study drug

          -  Recent infection requiring intravenous anti-infective treatment that was completed ≤14
             days before the first dose of study drug

          -  Known bleeding diathesis (eg, von Willebrand's disease) or hemophilia

          -  Treatment with warfarin or other Vitamin K antagonists (eg, phenprocoumon)

          -  Any life-threatening illness, medical condition, or organ system dysfunction that, in
             the opinion of the investigator, could compromise the subject's safety or put the
             study outcomes at undue risk

          -  Unwilling or unable to participate in all required study evaluations and procedures.

          -  Unable to understand the purpose and risks of the study and to provide a signed and
             dated informed consent form (ICF)

          -  Currently active, clinically significant cardiovascular disease, such as uncontrolled
             arrhythmia or class 3 or 4 congestive heart failure as defined by the New York Heart
             Association Functional Classification; or a history of myocardial infarction, unstable
             angina, or acute coronary syndrome within 6 months prior to enrollment

          -  Unable to swallow capsules, malabsorption syndrome, disease significantly affecting
             gastrointestinal function, resection of the stomach or small bowel, symptomatic
             inflammatory bowel disease or ulcerative colitis, or partial or complete bowel
             obstruction

          -  Pregnant females (Lactating females must agree not to breast feed while taking
             ibrutinib

          -  Prior use of ibrutinib

          -  Known seropositive and requiring anti-viral therapy for human immunodeficiency virus
             (HIV), hepatitis B virus (HBV) or hepatitis C virus (HCV) defined by PCR.

          -  Active concurrent malignancy requiring active therapy

          -  Known central nervous system or meningeal involvement (in the absence of symptoms
             investigation into central nervous system involvement is not required)

          -  Patients who require treatment with a strong cytochrome P450 (CYP) 3A inhibitor