Yes, Citavi licences are personal and not computer-related. Per licence, you can equip all personally used computers with Citavi.
If you leave the university, or change to another university not providing a Citavi license, Citavi will continue to run as Citavi Free. In Citavi Free you can
- Search within your project
- Create project bibliographies
- Create publications
- Export bibliographic information
- Create new projects
As a site license user of Citavi, you are entitled to purchase your own personal, non-expiring license key for Citavi for Windows at the discounted upgrade price.
Further information on this topic can be found on citavi.com: What happens if a site license expires?