There are many recent investigations that have supplied evidence that rainfall may have scale-invariant properties. If this is true, instruments with course resolution should only be trusted to estimate microphysical properties in a spatio-temporal regime where they are able to resolve the scale-invariant nature of the data. Here, we use a small-scale tipping-bucket rain gauge network (an instrument with inherent temporal scale limitations) to identify the minimum and maximum time scales over which a storm's scale-invariant behavior can be resolved. This gives some insight to the minimum time scale of scientific value from this instrument and the technique utilized here can be extended to a variety of other scale-limited raindrop measurement instruments (e.g. Joss-Waldvogel disdrometers, weighing rain gauges, or radar).