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Sure, a couple of ways. Before getting into that though, everything
other than what I've already suggested will probably be more work and/or
less-clean from a maintenance perspective. What is the drawback to
rotating hourly? If you are concerned about the number of files (24
hours * 30 days * 12 months... that kind of thing) then you're probably
forgetting that logrotate does not force a new log file every single
time it tuns. The logrotate definitions control how often that happens,
such as when a file gets to be a certain age, or a certain size, or
something. Tuning in that area is already done and could just be done
more to prioritize based on hourly stuff for this new section.

Going back to other solutions...

First, don't use logrotate but instead put a script in /etc/cron.hourly
that renames the file and restarts the service (or at least sends a -HUP
signal) for you. That'd be really easy, but it doesn't use logrotate
which you may want to use for some reason.

Second, copy the logrotate script from /etc/cron.daily to
/etc/cron.hourly and then modify it to ONLY point to one logrotate
configuration file which happens to be the one that you are going to
setup for this one syslog file. Now you have two places to maintain
both the cron/logrotate scripts as well as the logrotate configuration
files.

Good luck.
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