• Age \>= 18 years

• Confirmed recurrent or metastatic non-small cell carcinoma of the lung of any histology without curative options

• Measurable disease based on RECIST 1.1

• Patients must have received standard of care chemotherapy and immunotherapy. No limits to prior lines of therapy. Prior PD-1 and/or PD-L1 directed therapies are required. Prior CTLA4 therapy is permitted. Patients may have received no more than 3 prior lines of therapy in the metastatic setting (excluding targeted therapies)

• Patients with known actionable mutations with Food and Drug Administration (FDA)-approved treatment options must have received all approved and standard of care treatment options (ie osimertinib for EGFR, alectinib for ALK, etc)

• Eastern Cooperative Oncology Group (ECOG) performance status of 0-1

• Absolute neutrophil count (ANC) \>= 1,500 /mcL

• Platelets \>= 100,000 / mcL

• Serum creatinine OR measured or calculated creatinine clearance (glomerular filtration rate \[GFR\] can also be used in place of creatinine or creatinine clearance \[CrCl\]) =\< 1.5 X upper limit of normal (ULN) OR \>= 60 mL/min for subject with creatinine levels \> 1.5 X institutional ULN

• Serum total bilirubin =\< 1.5 X ULN OR direct bilirubin =\< ULN for subjects with total bilirubin levels \> 1.5 ULN

• AAspartate aminotransferase (AST) (serum glutamic-oxaloacetic transaminase \[SGOT\]) and alanine aminotransferase (ALT) (serum glutamate pyruvate transaminase \[SGPT\]) =\< 3 X ULN OR =\< 5 X ULN for subjects with liver metastases

• Albumin \>= 2.5 mg/dL

• International normalized ratio (INR) or prothrombin time (PT) or activated partial thromboplastin time (aPTT) =\< 1.5 X ULN unless subject is receiving anticoagulant therapy as long as PT or PTT is within therapeutic range of intended use of anticoagulants =\< 1.5 X ULN unless subject is receiving anticoagulant therapy as long as PT or PTT is within therapeutic range of intended use of anticoagulants

• Anticipated life expectancy of \>= 3 months

• Willing to comply with study procedures

• Must be able to swallow pills

• Female subjects of childbearing potential must be willing to use an adequate method of contraception

• For female patients of childbearing potential, a negative serum pregnancy test within 7 days prior to first dose of protocol therapy is required

• Be willing and able to understand and sign the written informed consent document

• Availability of a recent formalin-fixed, paraffin-embedded (FFPE) tumor tissue block. A recently obtained archival FFPE tumor tissue block (if an FFPE tissue block cannot be provided, 15 unstained slides (10 minimum) will be acceptable) from a primary or metastatic tumor resection or biopsy can be provided if it was obtained within 1 year of trial screening. Patients with archival tissue that does not meet this criteria may still be eligible in the dose escalation cohort only upon approval from PI.

• For patients in dose expansion cohort: Be willing to provide tissue from a pre-treatment and on-treatment fin needle aspirate (FNA) or core biopsy of a tumor lesion. Subjects must consent to pre-treatment and on-treatment biopsy prior to initiation of clinical trial, however subjects for whom newly-obtained samples cannot be provided (e.g. inaccessible or subject safety concern) may still continue on study

• Be willing to provide peripheral blood samples for correlative studies