I know this is very old, but, for whoever it may helps.
less +F my_log_file.log
that's just basic, with less you can do lot more powerful things. once you start seeing logs you can do search, go to line number, search for pattern, much more plus it is faster for large files.
its like vim for logs[totally my opinion]
original less's documentation : https://linux.die.net/man/1/less
less cheatsheet : https://gist.github.com/glnds/8862214