Optical strontium clocks could redefine the second
phys.org
phys.org
"Length of the path travelled by light in a vacuum in 1⁄299,792,458 of a second (17th CGPM)" [1]
So if you manage to measure the second with better accuracy you also manage to measure distances with less uncertainty.
For our everyday lives it will probably make no difference if the uncertainty of the meter changes from 10^-10 to 10^-11, but physicists could probably use the improvement to do something interesting.
Clock accuracy pertains directly to such imagining. I, um, "imagine" there is relevance to this work.
For example, the distance to the nearest galaxy: "The team refined the uncertainty in the distance to the LMC down to 2.2 percent." [1]
This kind of precision could be used for example to measure the radius of elementary particles (wild guess, I'm not even sure that makes sense given what we know about the quantum world)
[1] http://obs.carnegiescience.edu/content/distance-nearest-gala...