Bulk genomic analyses and expression profiling of clinical specimens have shaped much of our understanding of cancer in patients. However, human tumors are intricate ecosystems composed of diverse cells, including malignant, immune, and stromal subsets, whose precise characterization is masked by bulk genomic methods. Single-cell genomic techniques have emerged as powerful approaches to dissect human tumors at the resolution of individual cells, providing a compelling approach to deciphering cancer biology. Here, we discuss some of the common themes emerging from initial studies of single-cell RNA sequencing in cancer and then highlight challenges in cancer biology for which emerging single-cell genomics methods may provide a compelling approach.