The major mission of the cell division cycle is a faithful and complete duplication of the genome followed by an equal partitioning of chromosomes to subsequent cell generations. In this review, we discuss the advances in our understanding of how mammalian cells control the fidelity of these fundamental processes when exposed to diverse genotoxic insults. We focus on the most recent insights into the molecular pathways that link the sites of DNA lesions with the cell cycle machinery in specific phases of the cell cycle. We also highlight the potential of a new technology allowing direct visualization of molecular interactions and redistribution of checkpoint proteins in live cell nuclei, and document the emerging significance of live-cell imaging for elucidation of the spatio-temporal organization of the DNA damage response network.