An integrated circuit comprises scan test circuitry and additional circuitry subject to testing utilizing the scan test circuitry. The scan test circuitry comprises a scan chain having a plurality of scan cells. The integrated circuit further comprises a clock distribution network configured to provide clock signals to respective portions of the integrated circuit. The clock distribution network comprises at least one clock module comprising one or more clock dividers and associated clock divider logic, and the scan test circuitry is configured to permit testing of at least a portion of the clock divider logic. A given scan chain of the scan test circuitry may comprise first and second scan cells, with the first scan cell having a scan output coupled to a scan input of the second scan cell, and the second scan cell having a data input driven by an output of the clock divider logic.