I'm a biologist so I look at this in terms of evolution and instincts. currently working on a book that describes that conscience as our moral instinct. Morality is the combination of moral instinct and moral training, which tells you if something is right or wrong. It can stop you from doing things that are 'wrong" and even stop you from doing things that it's not sure are wrong.
I think there is a benefit to describing it in terms of biology. Inner Oracle, intuition, conscience, are all correct, but a philosopher looking for root causes would probably accept biology.