The phrase "little bearing" means that something or someone is not very relevant or doesn't have a significant impact or importance in a particular situation.
Sentences with «little bearing»
I think if you look closely you will find that religion has very little bearing on the situation. (religion.blogs.cnn.com)
The facts of this case have very little bearing on the issue on which I'm focusing. (slaw.ca)
Glad to include your cute little bear / men, I'm going to have give them a try with my kiddos. (raiasrecipes.com)