Lapatinib and Tamoxifen in Treating Patients With Locally Advanced or Metastatic Breast Cancer That Did Not Respond to Previous Tamoxifen

Inclusion Criteria: * Primary adenocarcinoma of the breast confirmed by histology or cytology * Locally advanced or metastatic disease not amenable to surgery or radiation therapy with curative intent * Estrogen and/or progesterone receptor positive cancer * Patients have failed hormonal manipulation with tamoxifen, either showing no response (primary resistance) to initial therapy or relapse/progression after showing initial response (secondary failure) * At least 1 measurable (target) lesion (i.e. any malignant tumor mass that can be accurately measured in at least 1 dimension, \>= 20 mm with conventional radiographic techniques or \>= 10 mm with magnetic resonance imaging \[MRI\] or spiral computerized tomography \[CT\] scans), in a previously un-irradiated area * No more than 450 mg/m\^2 of prior doxorubicin * Life expectancy \>= 3 months * Eastern Cooperative Oncology Group (ECOG) performance status =\< 2 (Karnofsky \>= 60%) * Absolute neutrophil count (ANC) \>= 1500/mm\^3 * Platelets \>= 100,000/mm\^3 * Hemoglobin \>= 9.0 g/dL * Creatinine (Cr) =\< upper limit of normal (ULN) or Cr clearance \> 60 mL/min/m\^2 * Total bilirubin =\< 1.5 x ULN * Alanine aminotransferase (ALT) =\< 1.5 x ULN or =\< 3 x ULN with liver metastases * Aspartate aminotransferase (AST) =\< 5 x ULN or =\< 3 x ULN with liver metastases * Cardiac ejection fraction within the institutional range of normal as measured by echocardiogram or multi gated acquisition scan (MUGA) scan; (note that baseline and on-treatment scans should be performed using the same modality and preferably at the same institution) * Patients on oral anticoagulants (Coumadin, warfarin) should either be switched to low molecular weight heparin or have a very close monitoring of international normalized ratio (INR), if continued on Coumadin * Negative serum pregnancy test within 7 days of enrollment for pre-menopausal women and women within 6 months of menopause; should a woman become pregnant or suspect she is pregnant while participating in this study, she should inform her treating physician immediately; both men and women should be counseled in contraceptive use due to unknown effects of the drug on the fetus and breast feeding should be avoided * Ability to understand and the willingness to sign a written informed consent document * Ability to swallow and retain oral medication Exclusion Criteria: * Patients who have had prior treatment with EGFR and or Her-2 targeting therapies (prior trastuzumab combined with chemotherapy in the adjuvant setting only is allowed, but the combination of trastuzumab with hormonal therapy is not allowed) * Current treatment with any other anti-neoplastic agent, including trastuzumab; patients may continue to receive zoledronic acid for bone metastases or hypercalcemia * Radiation therapy within 2 weeks of enrollment or surgery within 4 weeks * Rapidly progressive disease in major organs (i.e. lymphangitic spread, bulky liver metastasis) or known brain/leptomeningeal metastatic disease requiring active therapy; (patients with asymptomatic, stable previously treated metastases to the central nervous system and surrounding tissues are eligible; however patients must not have a requirement for corticosteroids due to central nervous system metastases at the time of study entry) * Any of the following conditions within 6 months of enrollment: myocardial infarction, severe/unstable angina, symptomatic congestive heart failure, cerebrovascular accident or transient ischemic attack, coronary/peripheral artery bypass grafting; patients who have experienced a pulmonary embolus, deep venous thrombosis or other clinically significant thromboembolic event within 6 months of enrollment are eligible if they are clinically stable on anticoagulation therapy * Pregnancy or breast feeding; breastfeeding should be discontinued if the mother is treated with GW572016; female patients must agree to use effective contraception during the study period, be surgically sterile, or be post-menopausal; in addition, male patients will be required to use effective contraception during the study period or be surgically sterile; the definition of effective contraception will be based on the judgment of the investigator * Human immunodeficiency virus (HIV)-positive patients receiving combination anti-retroviral therapy are excluded from the study * History of allergic reactions attributed to compounds of similar chemical or biologic composition to GW572016 * Patients with gastrointestinal (GI) tract disease resulting in an inability to take oral medication, malabsorption syndrome, a requirement for intravenous (IV) alimentation, prior surgical procedures affecting absorption, or uncontrolled inflammatory GI disease (e.g., Crohn's, ulcerative colitis) * Treatment with any agents that interact with cytochrome P450 3A should be avoided and used with caution, if necessary; when possible, patients should be switched to alternative medications; patients requiring anticoagulation should either be switched to a low molecular weight heparin injection or have a very close monitoring of INR, if continued on Coumadin * Previous (within 5 years of enrollment) or current malignancies at other sites, except adequately treated basal cell or squamous cell skin cancers and carcinoma in situ of the cervix * Other severe acute or chronic medical or psychiatric conditions or laboratory abnormality that may increase the risk associated with study participation or study drug administration or may interfere with interpretation of study results and, in the judgment of the investigator, would make the patient inappropriate for study entry