It would be nice to get confirmation that this indeed the best thing to do to avoid writes on the Linino internal memory.. (note that I am not (yet) using cron)
OutputSyslogd writes the log messages it receives into a file or into the RAM ringbuffer (option -C). The file is a file, it can be accessed with cat, less, vi, etc. The data in the RAM ringbuffer should be accessed with logread. You can of course use pipes, like logread -f | nc 192.168.1.1 514 or logread -f » /mnt/share/logfile (reasonable on non-flash media, see usb.storage or nfs.client) or pretty much whatever you want.
ps | grep syslogd