Inclusion Criteria:  Adults at least 18 years of age; World Health Organization (WHO) Performance Status 0 or 1; Histologically confirmed resectable stage III clear cell RCC (measurable according to RECIST 1.1), that can be biopsied, and no history of distant metastases;  TNM grading:  cT1b-cT2a grade 4 cN0 cM0 cT2b grade 3 cN0 cM0 cT3a grade 3-4 cN0 cM0 cT3b-cT4 any grade cN0 cM0 cT any cN1 (fully resectable) cM0 No other malignancies, except adequately treated and a cancer-related life-expectancy of more than 5 years; Patient willing to undergo triple tumor biopsies and extra blood withdrawal during screening and in case of relapse; No prior immunotherapy targeting CTLA-4, PD-1 or PD-L1, or LAG-3; No immunosuppressive medications within 6 months prior study inclusion; Screening laboratory values must meet the following criteria: WBC ≥ 2.0x109/L, Neutrophils ≥1.5x109/L, Platelets ≥100 x109/L, Hemoglobin ≥5.5 mmol/L, Creatinine ≤1.5x ULN, AST ≤ 1.5 x ULN, ALT ≤ 1.5 x ULN, Bilirubin ≤1.5 X ULN, normal CK and Troponin T, normal LDH; Women of childbearing potential must use appropriate method(s) of contraception. They should use an adequate method to avoid pregnancy for 23 weeks (30 days plus the time required for nivolumab to undergo five half-lives) after the last dose of investigational drug; Women of childbearing potential must have a negative serum or urine pregnancy test (minimum sensitivity 25 IU/L or equivalent units of HCG) within 24 hours prior to the start of study treatment; Women who are not of childbearing potential (i.e., who are postmenopausal), or surgically sterile as well as azoospermic men do not require contraception; Patient is capable of understanding and complying with the protocol requirements and has signed the Informed Consent document.  Exclusion Criteria:  Distantly metastasized RCC; Brain metastases (based on symptoms); Non-clear cell RCC; No measurable lesion according to RECIST 1.1; Subjects with any active autoimmune disease or a documented history of autoimmune disease, or history of syndrome that required systemic steroids or immunosuppressive medications, except for subjects with vitiligo or resolved childhood asthma/atopy; Prior CTLA-4 or PD-1/PD-L1 or LAG-3 targeting immunotherapy; Radiotherapy prior or post-surgery; Patients will be excluded if they test positive for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody), indicating acute or chronic infection; if treated and being at least one year free from HCV patients are allowed to participate; Patients will be excluded if they have known history of testing positive for human immunodeficiency virus (HIV) or known acquired immunodeficiency syndrome (AIDS); Allergies and Adverse Drug Reactions (like mastocytosis); History of severe hypersensitivity reaction to any monoclonal antibody; Underlying medical conditions that, in the Investigator's opinion, will make the administration of study drug(s) hazardous or obscure the interpretation of toxicity or adverse events; Pregnant or nursing; Concurrent medical condition requiring the use of immunosuppressive medications, or immunosuppressive doses of systemic or absorbable topical corticosteroids; Use of other investigational drugs before study drug administration 30 days and 5 half-times before study inclusion.  Relatlimab-specific exclusion Criteria:  Participants with history of myocarditis, regardless of etiology; Troponin T (TnT) > 2 × institutional ULN. Participants with TnT levels between > 1 to 2 × ULN will be permitted if a repeat levels within 24 hours are ≤ 1 ULN. If TnT levels are between >1 to 2 × ULN within 24 hours, the participant may undergo a cardiac consultation and be considered for treatment, following cardiologist recommendation. When repeat levels within 24 hours are not available, a repeat test should be conducted as soon as possible. If TnT repeat levels beyond 24 hours are < 2 × ULN, the participant may undergo a cardiac consultation and be considered for treatment, following cardiologist recommendation. Notification of the decision to enroll the participant following cardiologist recommendation has to be made to the BMS Medical Monitor or designee. Left ventricular ejection fraction (LVEF) assessment with documented LVEF < 50% by either transthoracic echocardiogram (TTE) or multigated acquisition (MUGA) scan (TTE preferred test) within 6 months prior to start of study treatment.