It is absolutely true that science as it currently stands has no explanation as to why remedies potentised beyond about 12c which have no molecules of the original substance remaining in them, have any medicinal effect.
As Simone writes, homoeopaths and their patients (Animals and babies included)have found by experience that these potentised remedies do have a medicinal effect, so we have to assume that the scientific explanation as to why the remedies work is simply lagging behind practice. I for one would like to live to see the day when there is an explanation, because I think it would see a leap forward for homoeopathy.

There are some clinical trials (set up within allopathic parameters, far from ideal for a homoeopath to work with) that have demonstrated that potentised medicines are effective.
However as Simone points out there are no wealthy vested interests in homoeopathy, so there is no means of funding trials on the scale of the drugs industry. For example, the most expensive remedy one could order from a UK pharmacy would cost no more than £5, and it could be used such that it would last a lifetime.
The homoeopathic pharmacists I am acquainted with are highly ethical and dedicated individuals.