Dreaming of batting means you are ready to step up to the plate and take your place as a responsible adult. Do things that consistently lead up to molding who you are. Instead of running away from tough challenges, pick up a tool and practice your stance to confront what is ahead of you. Become the batter that hits.
Batting or swinging a bat in dreams signifies that you are not going to constrain your thoughts in any way. It also means that you have the potential to do something big such as hitting a homerun on your ideas.