The science of complexity [6], [12], [20, 21], [31, 32] has been introduced to Information Systems (IS) but thus far with seemingly little impact. This paper argues that its application can be located in the burgeoning field of User Experience (UX) in digital business practice [23], [38]. Both these developments are looking at time in a new way, specifically at the irreversibility of many living processes, whilst simultaneously involving, including, and relying upon very scientific and computational data. The paper introduces a forthcoming research project with a UX company seeking to discover more.