Ibrutinib Before and After Stem Cell Transplant in Treating Patients With Relapsed or Refractory Diffuse Large B-cell Lymphoma

Inclusion Criteria:

* PRE-REGISTRATION ELIGIBILITY CRITERIA (STEP 0)
* Patients must have paraffin tissue from the diagnostic or relapse biopsy available to be submitted for central pathology review; this review is mandatory prior to registration to confirm eligibility and should be initiated as soon as possible
* ELIGIBILITY CRITERIA (STEP 1)
* Diagnosis of World Health Organization (WHO) diffuse large B-cell lymphoma, non-GCB by central review confirmation
* Patient must be deemed eligible to proceed with high-dose chemotherapy and autologous stem cell transplantation by local transplant center
* New York Heart Association class I or less; ordinary physical activity does not cause undue fatigue, palpitations, dyspnea, or angina pain; patients 60 years or older must have a left ventricular ejection fraction (LVEF) at rest \>= 40% measured by echocardiogram or multi-gated acquisition (MUGA)
* Diffusion capacity of the lung for carbon monoxide (DLCO) \>= 40% of predicted (corrected or uncorrected for hemoglobin per institutional standards)
* Forced expiratory volume in 1 second (FEV1) \>= 40% of predicted (corrected or uncorrected for hemoglobin per institutional standards)
* Forced vital capacity (FVC) \>= 40% of predicted (corrected or uncorrected for hemoglobin per institutional standards)
* Total bilirubin =\< 1.5 x upper limit of normal (ULN) unless isolated hyperbilirubinemia attributed to Gilbert's syndrome
* Aspartate aminotransferase (AST) and alanine aminotransferase (ALT) =\< 3 x upper limit of normal (ULN)
* Creatinine =\< 2.0 mg/dL OR creatinine clearance (calculated clearance permitted) \>= 40 mL/min by Cockcroft-Gault formula
* Prothrombin time (PT)/ international normalized ration (INR) \< 1.5 x ULN and partial thromboplastin time (PTT) (activated \[a\]PTT) \< 1.5 x ULN
* Patient must have progressed or be refractory to prior anthracycline-containing chemotherapy (e.g. rituximab, cyclophosphamide, doxorubicin hydrochloride, vincristine, and prednisone \[R-CHOP\], dose adjusted etoposide, prednisone, vincristine, cyclophosphamide, doxorubicin, and rituximab \[DA-EPOCH-R\], etc)
* No more than 3 prior regimens for large cell component (e.g. one induction and two salvage therapies); monoclonal antibody alone or involved field/involved site radiotherapy do not count as lines of therapy. Prior CART therapy is allowed and counts as one line of therapy
* Prior use of ibrutinib is allowed unless patient has had disease progression while receiving ibrutinib
* Patient must have chemosensitive disease as defined by at least a partial response to salvage therapy at their latest assessment
* No major surgery =\< 7 days prior to registration and no minor surgery =\< 3 days prior to registration (with the exception of intravenous access placement, e.g. Hickman or peripherally inserted central catheter \[PICC\])
* Not pregnant and not nursing, because this study involves an agent that has known genotoxic, mutagenic and teratogenic effects; therefore, for women of childbearing potential only, a negative serum pregnancy test must be obtained within 14 days prior to registration

  * Women of childbearing potential must use adequate contraception from study start to one month after the last dose of protocol therapy; adequate contraception is defined as hormonal birth control, intrauterine device, double barrier method or total abstinence; men must practice complete abstinence or agree to use an adequate contraception method from study start to one month after the last dose of protocol therapy
* Age \>= 18 years
* Patients should not require chronic use of strong CYP3A inhibitors or strong CYP3A inducers
* Patients should not require concurrent therapeutic doses of steroids (\> 20 mg of prednisone/day or equivalent) unless they need them for the indications; steroids should be discontinued for 14 days before starting protocol treatment
* Human immunodeficiency virus (HIV) infected patients are eligible provided they meet all other eligibility criteria, and:

  * There is no prior history of acquired immunodeficiency syndrome (AIDS) defining conditions other than historically low CD4+ T-cell count or B-cell lymphoma
  * In the opinion of an expert in HIV disease, prospects for long-term survival are excellent were it not for the diagnosis of lymphoma
  * Use of HIV protease inhibitors as part of the anti-HIV regimen OR as a pharmacologic booster is not allowed
  * Zidovudine is not allowed
  * Once daily combination pills for HIV containing a pharmacologic booster such as cobicistat are not allowed
  * Patients with multi-drug resistant HIV are not eligible
* Patients cannot have:

  * Active central nervous system or meningeal involvement by lymphoma; patients with a history of central nervous system (CNS) or meningeal involvement must be in a documented remission by cerebrospinal fluid (CSF) evaluation and contrast-enhanced magnetic resonance imaging (MRI) imaging for at least 91 days prior to registration
  * Evidence of myelodysplasia or cytogenetic abnormality indicative of myelodysplasia on any bone marrow biopsy prior to initiation of therapy
  * A known bleeding diathesis
  * Requirement for warfarin or similar vitamin K antagonists; these drugs are prohibited 28 days prior to the first treatment and throughout the trial
  * History of stroke or intracranial hemorrhage =\< 6 months before treatment
  * Currently active, clinically significant hepatic impairment (Child-Pugh class B or C according to the Child Pugh classification
  * History of allergic reactions attributed to compounds of similar chemical or biologic composition to ibrutinib or other agents used in study
  * Serologic status reflecting active hepatitis B or C infection; patients that are positive for hepatitis B core antibody, hepatitis B surface antigen (HBsAg), or hepatitis C antibody must have a negative polymerase chain reaction (PCR) prior to enrollment; (PCR positive patients will be excluded)
* Eastern Cooperative Oncology Group (ECOG) performance status must be =\< 2