Ricolinostat, Gemcitabine Hydrochloride, and Cisplatin in Treating Patients With Unresectable or Metastatic Cholangiocarcinoma

Inclusion Criteria: * Histological or cytologic confirmation of unresectable or metastatic cholangiocarcinoma (intrahepatic, hilar, extrahepatic bile duct) * Measurable disease * Eastern Cooperative Oncology Group (ECOG) performance status (PS) 0, 1 or 2 * Absolute neutrophil count (ANC) \>= 1200/mm\^3 * Platelet count \>= 100,000/mm\^3 * Total bilirubin \< 1.5 x upper limit of normal (ULN), If patient has known Gilbert's syndrome, direct bilirubin \< 2.0 x ULN * Aspartate transaminase (AST) =\< 5 x ULN * Alkaline phosphatase =\< 5 x ULN * Creatinine =\< 1.5 x ULN * Negative pregnancy test done =\< 7 days prior to registration, for women of childbearing potential only * Ability to complete a patient medication diary by themselves or with assistance * Provide informed written consent * Willingness to return to enrolling institution for follow-up (during the active monitoring phase of the study) * Willingness to provide tissue and blood samples for correlative research purposes * Life expectancy \>= 3 months * Prior embolization, chemoembolization, or radiofrequency ablation permitted if \>= 4 weeks from registration and evidence of new tumor growth is present Exclusion Criteria: * Any of the following * Pregnant women * Nursing women * Men or women of childbearing potential who are unwilling to employ adequate contraception * Co-morbid systemic illnesses or other severe concurrent disease which, in the judgment of the investigator, would make the patient inappropriate for entry into this study or interfere significantly with the proper assessment of safety and toxicity of the prescribed regimens * Immunocompromised patients and patients known to be human immunodeficiency virus (HIV) positive and currently receiving antiretroviral therapy; NOTE: patients known to be HIV positive, but without clinical evidence of an immunocompromised state, are eligible for this trial * Uncontrolled intercurrent illness including, but not limited to, ongoing or active infection, symptomatic congestive heart failure, unstable angina pectoris, cardiac arrhythmia, or psychiatric illness/social situations that would limit compliance with study requirements * Central nervous system (CNS) metastasis; NOTE: history of brain metastasis other than locally treatable lesions (i.e., lesions treatable with surgery or radiosurgery); patients with locally treatable disease may be considered for study if they have completed treatment without evidence of CNS progression for \> 4 weeks after completion of treatment; patients with a history of brain or other CNS metastases not amenable to local therapy will not be eligible * Prior biologic or immunologic therapy =\< 4 weeks prior to study entry * Prior systemic chemotherapy for cholangiocarcinoma or gallbladder carcinoma; NOTE: adjuvant chemotherapy is allowed if completed \> 6 months prior to the start of registration * Prior radiation of cholangiocarcinoma or gallbladder carcinoma; NOTE: adjuvant radiation therapy is allowed if completed \> 6 months prior to the start of registration * Receiving any other investigational agent which would be considered as a treatment for the primary neoplasm * Other active malignancy =\< 5 years prior to registration; EXCEPTIONS: non-melanotic skin cancer or carcinoma-in-situ of the cervix or breast, or prostatic intraepithelial neoplasm; NOTE: if there is a history or prior malignancy, patient must not be receiving other specific treatment (other than hormonal therapy) for their cancer * History of myocardial infarction =\< 6 months from registration, or congestive heart failure requiring use of ongoing maintenance therapy for life threatening ventricular arrhythmias