Recent research indicates periodicity in attention-related sampling and switching, with some of the initial findings coming from behavioral studies. Brookshire [Brookshire, G. Putative rhythms in attentional switching can be explained by aperiodic temporal structure. Nature Human Behaviour , 2022, https://doi.org/10.1038/s41562-022-01364-0 ], points out that widely used approaches to testing for rhythms in behavioral times series can misclassify consistent aperiodic patterns in temporal structure as periodic patterns. Evidence for rhythmic attention, however, is not limited to behavioral data. Here, I briefly discuss (i) issues with differentiating periodic and aperiodic structure in both behavioral and neural time series, (ii) findings from neural data that are consistent with rhythmic sampling and switching during attentional deployment, and (iii) whether alternative approaches to establishing periodicity in behavioral time series, recommended by Brookshire are appropriate for this particular research topic.