Question

Is it possible git log to be auto refreshed after commit or can I use another utillity in the Terminal to see list of all previous commits which auto refreshes itself?

Answer 1

You mean something like this?

 while true; do clear; git log -2 | cat; sleep 5; done

This shows the top two git log entries, refreshing every 5 seconds.
The “| cat” is there to avoid git opening a pager.

This does not get new remote changes, though.