Is it correct to use "git" as verb?

Solution 1:

It's quite common to use the name of a computer program as a verb, but it would be considered "jargon" which is specialized, work-related slang and terminology only used and understood by a niche subset of people with a common job (or hobby). Like most slang, it isn't typically used in formal communication (although there can be exceptions).

The pattern of "verbing" the name of a computer program is especially common for Linux/Unix-based programs such as git (probably because they are typically functional; they perform a specific action).

This usage would be understood by most programmers, at least those who work with git, and baffle most people outside of the field.

Solution 2:

The correct answer depends on the crowd you call company at the time you decide to verb GIT. If your audience is all computer science types, GIT'n it may not be a problem, also true if your audience is all from the backwoods south, Git'r done. In polite society however, if you refer to Giting something, you may have more then chagrin to worry about.