To dream that you are in a cage, denotes that you are experiencing some inhibitions and powerlessness in some areas of your life. You may feel restricted, confined and restrained in a current relationship or business deal. Somebody may be keeping a short leash on you where you are lacking the freedom to act independently.
If you are putting a wild animal in a cage and you are successful then your dream is telling you that you will win out in the face of much adversity and opposition.
To see rabbits in a cage shows you will have many children.
To see birds in a cage will sometimes presage loss.