If ESTIME is already in the JES2 member, you can display the value with $D ESTIME.
Since a JES2 restart is needed to pick up the parm change, you can dynamically change it for testing purposes by is ...
Check your JES2 member in your PARMLIB for ESTIME. Modify the following example so it does generate the $hasp308 when you want them:
ESTIME NUM=60, /* 60 minutes for 1st Message */
...
Check your syslog for $HASP308. If you have it, use automation to generate a console alert. The message will be $HASP308 'jobname' ESTIMATED TIME EXCEEDED BY '##' MINUTES.
I don't know what automati ...