The thought of an expanding universe is fascinating. With that
in mind, can "time" or the passage of time in our reality, speed
up or go by faster?
It is all relative. Time in a galaxy in the galaxy cluster 3C295
that is receding from us as part of the overall expansion of the
universe will appear to pass about 46% more slowly to us since
it is located at a distance corresponding to a red shift of 46%,
or about 5 billion light years. Conversely, residents of that
galaxy would observe that our Milky Way Galaxy is receding from
them, and that time in our galaxy is passing more slowly.