Arnon,
Yes, there are many tweaks you can do and they are will documented in our User Manual / Knowledge Base. Please do a search at the top of the success site and search for the following words...
Notifications
Alerts
Notify Me
Also, here is a specific section in the manual that will be useful...
https://success.clarizen.com/hc/en-us/articles/205712478-3-4-Working-With-Emails