To see a tree limb in your dream symbolises the relationship and communication between you and your family or relatives. Alternatively, the limb represents your developing abilities and budding talents. Consider the thickness and condition of the limb. The dream may also be a metaphor that you are “going on out on a limb”. The odds are working against you. 

To dream that you have an invisible limb means that you are not realizing your own potential. You are not utilizing your full abilities. In particular, if you dream that you have an invisible arm or hand, then it means that you are not doing all that you can. If you dream that you have an invisible leg or foot, then it implies that you are not going the distance in some task. Perhaps others are underestimating your abilities.

Please also refer to the specific part of the body in the dictionary.