A system includes a component (e.g., a processor) that includes a clock generator that generates an internal clock running at a frequency. A controller generates a clock frequency change indication and places the component into a low activity state (e.g., deep sleep, stop grant, or other state). The clock generator is reset by the clock frequency change indication to change the clock's frequency while the component is in the low activity state. Storage elements containing different values are selectable to set the clock frequency. The storage elements include fuse banks and input pins.