Berberis may or may not be effective. The reason being
1. Homeopathy doesnt have a specific medicine for a specific condition. It treats patient as a whole so it better to understand the reason of the dark circles than to just apply something to get rid of it externally.
2. Apart from Berberis there are other number of medicines and tinctures available for the same so again the similarity is important.
3. Apart from just applying external application, a proper diet change, sleep pattern, and other changes are also equally essential.
Consult a physician and start the treatment.
Health Tips
Homeopathy works with the pace of the body so it's better to understand and follow the course of treatment properly.