Imagine people living in an infinitesimally small world. Their chosen unit of length (i.e. their "1 meter") must be comparable to their physical sizes, which is infinitesimally small from our perspective. Analogously, since time resembles in many aspects the spatial dimensions, their chosen unit of time (i.e. their "1 second") may also be infinitesimally small from our perspective.
The corollary would be that by the time we notice the tiniest change in our world, in an infinitesimally small world literally eternities would have elapsed.
This would open up interesting possibilities that seem to fall into the sci-fi category. To mention one, if we could mandate somebody in an infinitesimally small world to execute an extremely time-consuming algorithm for us, we would get back the result from them (or from one of their descendants) within the blink of an eye.