It sounds like your recurring dreams about being responsible for a box, cage, or room full of rodents could have significant meaning. Animals in dreams often symbolize different aspects of ourselves or our emotions.

1. Responsibility: The recurring theme of responsibility suggests that you may be feeling overwhelmed or burdened by certain duties or obligations in your waking life. The fact that these dreams have been with you since childhood might indicate a long-standing concern or anxiety about taking care of others or managing situations.
2. Rodents: The specific type of animals may also offer clues. Rodents can symbolize feelings of vulnerability, anxiety, or even resourcefulness. They often represent small, nagging worries or issues that may be 'nibbling' away at you.
3. Emotional State: Consider how you feel in the dream. Are you anxious, nurturing, or overwhelmed? Your feelings can provide insight into how you perceive your responsibilities and the creatures you are caring for.
4. Childhood Connection: Since these dreams began in childhood, they might be tied to experiences or emotions you faced during that time. Reflecting on your childhood may help uncover the root of these feelings.

To gain more clarity, you might want to keep a dream journal to note down specific details and feelings associated with each dream. This practice can reveal patterns or themes that may help you address any underlying issues in your waking life. It could also be beneficial to evaluate your current responsibilities and see if they align with how you feel in these dreams.