CAGE, CELL

The cell often depicts how we imprison ourself within our own anger, re­sentment or depressed feelings; or we may be trapped by childhood trauma. Something or somebody else caged: desire to restrain whatever is represented by the thing, person, that is caged.

Dreaming of a cage most often represents some form of trap or prison. However, if the dream incorporates the dreamer ensnaring a wild animal, implies that we are locking up our primal instincts; that we need restraining.

Also this on Dream...

A cage can also represent a sense of entrapment in ourselves, in particular, with rigid beliefs about religion.

To dream of caging a wild animal alerts us to our need to restrain our wilder instincts.

To dreamthat we are in a cage indicates a sense of frustration and perhaps of being trapped by the past.