Lewisham is pretty safe if your asking. I personally have no experience with The Chapter but I hear its good and is very close to the shopping centre and street market, so you can find good bargains there. You should have no trouble going to central London from lLwisham. If your asking about your safety whilst making the journey, honestly speaking it depends on times and the bus stop locations. If you don't mind taking trains etc, you can have a safer journey.