A potentially lethal form of DNA/RNA modification, a cleavage complex, occurs when a nucleic acid-processing enzyme that acts via a transient covalent intermediate becomes trapped at its site of action. A number of overlapping pathways act to repair these lesions and many of the enzymes involved are those that catalyze recombinational-repair processes. A protein, Tdp1, has been identified that reverses cleavage-complex formation by specifically hydrolyzing a tyrosyl-DNA phosphodiester bond. The study of these pathways is both interesting and pertinent as they modulate the effectiveness of many antitumor/antibacterial drugs that act by stabilizing cleavage-complexes in vivo.