Student or Learner
Here is the sentence: The big data has little do with company size.
Your sentence really makes no sense. But "have little to do with" is similar to "have nothing to do with", except that the latter means that there is no relevance of one thing to another, while the former suggests that there is possibly at least some small relevance.
The word "to" was missing from your original making it much harder to work out what was trying to be said. If it said "... has little do with ..." then it's a typo and the word "to" has been omitted between "little" and "do".
Remember - if you don't use correct capitalisation, punctuation and spacing, anything you write will be incorrect.
I didn't even notice the missing 'to'! My explanation is for the term "to have little to do with something", which I took to be the question.
I guess from Mike's response, they don't use the term in AmE - unless being American has little to do with his response. Maybe he means that he still can't understand the example sentence - nor can I - rather than he can't understand the [incomplete] idiom in the title, or the question.