Current Cron Log

[Nicky]

Hello, 

I have a script that is started through cron. This script contains
several steps, each step writes information to stdout, in case of errors
to stderr. 
The total script runs for about 6 hours and then the the combined output
of all steps is mailed to root.

However, is there a way to 'examine/monitor' the scripts progress.
Perhaps cron keeps a temporary/current logfile of my scripts output,
which i can look at?

Any idea's?

Thank You.