When comparing GitEye vs Ungit, the Slant community recommends Ungit for most people. In the question“What are the best Git clients for Windows?” Ungit is ranked 21st while GitEye is ranked 22nd. The most important reason people chose Ungit is:
Ungit is open source software available under the MIT Licence.
Specs
Ranked in these QuestionsQuestion Ranking
Pros
Pro Native GitHub GUI support via GitHub Eclipse plugin
GitEye can be integrated with the GitHub Eclipse plugin to have support for GitHub.
Pro Custom commands can be defined that allow launching third-party tools
If you are using a lot of third-part tools besides GitEye, you can set up shortcuts to launch them easily from inside GitEye, greatly improving your workflow.
Pro Has a graphical compare and merge tool
Pro Great for those starting out with git

Pro Free and Open Source Software
Ungit is open source software available under the MIT Licence.

Pro Cross-platform
Works on Windows, Linux, and OS X.
Pro Optional Integration with Modern Text Editors
Ungit can be integrated directly into modern text editors, Atom, Brackets, and VS Code.
Pro Web-based interface
Ungit is web-based, meaning you can run it on your cloud/pure shell machine and then use the UI from your browser.
Cons
Con Poor documentation
The documentation isn't very detailed and does not do a good job at explaining everything.
Con Node.js dependent

Con Setup is not user-friendly
Ungit is distributed as an NPM package and requires git and Node.js to be installed on your system before you can run it. Ungit must be launched by running ungit
in a command line terminal.
Con Exposes git commands to your network
No authentication, if someone can communicate with your computer on the port this is running on, they can execute any git command they want on your repos as well as view your filesystem's folders.
