Adding event/notice at the end of log rotation

Would it be possible (also suggestion on what might be the best way) to add an event/execute a script once log-rotation/compression is complete.

Use case: We archive the logs to a mass storage while leaving a local copy for N days. Right now, its a guessing game on when to run the nightly archive (ie once log compression and local rotation is complete).

thanks,
Aashish