In chronic human immunodeficiency virus (HIV)-1 infection, long-lived latently infected cells are the major barrier to virus eradication and functional cure. Several therapeutic strategies to perturb, eliminate, and/or control this reservoir are now being pursued in the clinic. These strategies include latency reversal agents (LRAs) designed to reactivate HIV-1 ribonucleic acid transcription and virus production and a variety of immune-modifying drugs designed to reverse latency, block homeostatic proliferation, and replenish the viral reservoir, eliminate virus-producing cells, and/or control HIV replication after cessation of antiretroviral therapy. This review provides a summary of ongoing clinical trials of HIV LRAs and immunomodulatory molecules, and it highlights challenges in the comparison and interpretation of the expected trial results.