The first living polymerization of twisted amides is reported, achieved using simple primary alkyl iodides as initiators. Polymerization occurs through a halide-rebound mechanism in which the nucleophilic twisted amide is quaternized and subsequently ring opened by the iodide counterion. The covalent electrophilic polymerization generates polymers with living chain ends that are both isolable and stable to ambient conditions, enabling the synthesis of block polymers. This presents a new class of polymers for study that possess high glass transition temperatures and robust thermal stability.