According to tradition, the tree symbolizes time: roots represent the past while branches the future. Perhaps the dream portends a premonition or your future hopes and fears. In the event you dream that you climb a tree, you will be lucky.
Dreams of a tree represent that you are solidly rooted, deeply grounded, and yet exalted in your stature and connection with spirit. Also, this dream might be giving you the message to branch out and connect with your family tree.
See Branch.