Circadian organization can be disrupted by constant light, resulting in behavioral arrhythmicity or 'splitting' of rhythms of activity and rest. By imaging molecular rhythms of individual clock neurons in explanted mouse clock nuclei, we now find that constant light desynchronizes clock neurons but does not compromise their ability to generate circadian rhythms. Cellular synchrony within clock nuclei is disrupted during arrhythmicity, whereas neurons in the left and right clock nuclei cycle in antiphase during 'splitting.'