When comparing GitEye vs tig, the Slant community recommends tig for most people. In the question“What are the best Git clients for Windows?” tig is ranked 5th while GitEye is ranked 22nd. The most important reason people chose tig is:
If you prefer to do most of your development inside the terminal, changing windows to move to a GUI git client can be annoying. Since tig runs inside the terminal, that's avoided.
Specs
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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 Allows you to stay in the terminal
If you prefer to do most of your development inside the terminal, changing windows to move to a GUI git client can be annoying. Since tig runs inside the terminal, that's avoided.
Pro Fast
Pro Vim-like bindings
Pro Available in Homebrew
Can easily be installed with homebrew simply by running brew install tig
Pro Works on any platform
Cons
Con Poor documentation
The documentation isn't very detailed and does not do a good job at explaining everything.
Con Steeper barrier to entry as compared to a GUI solution
Since you have to get used to working in the terminal (if you are not already used to doing that) and learn the commands, it has a steeper learning curve than GUI clients which are usually more intuitive and easier to grasp.