This phase II trial studies how well hydroxychloroquine works in treating patients with prostate cancer that has come back (recurrent) and has spread to a limited number of sites (oligometastatic). PAR-4 is a protein that causes cell death in cancer cells, but the amount of it made by normal cells is not enough to cause massive cancer cell death. Hydroxychloroquine may increase PAR-4 levels which helps kill more cancer cells.
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