Inner urges and instincts repressed, or caged. Your spontaneous urges trapped by social conventions. It might suggest that you find it sager to see your natural urges and drives caged/repressed because it seems safer.
Ones natural urges and instincts, such as sexuality, parental caring, social grouping. What is happening to the animals shows how one is relating to the natural side of oneself – and how it is responding to ones conscious attitudes and activities. Life processes in us are not inert. They constantly respond to what we do and what we are. See: animals; Brain Levels and Dreams explains the animals you have within you.
Are you seeing the animal in you as something to be kept caged up or like a curiosity?