Create a custom log file within /etc/logrotate.d directory.
touch /etc/logrotate.d/customlog
Add the following to your /etc/logrotate.d/customlog file.
/var/log/customlog
{
daily
missingok
compresscmd=/bin/gzip
compressext=.gz
compress
sharedscripts
# postrotate
# endscript
}
[highlighter]
Restart logrotate
sudo /usr/sbin/logrotate /etc/logrotate.conf
Done