In our group we use git for code repos and cloud for storage and actual compute. It works seamlessly and git APIs work fantastically with almost any service, IDE or whatever your tool of choice.
I suspect with the increasing cloud adaption, accessing data is getting easier by the day and I see no real need for a “git for data” tool. Plus, as a data scientist, it allows me to keep code and data separate, especially if I’m working with confidential data.