The green bus deals with very local traffic but really if the problem is cross traffic... Wandsworth/Clapham to Dulwich and vice versa one solution would be to sort the train out. It is possible to go from East Dulwich to Clapham Junction but the wait at West Norwood is actually longer than the journey! It was once proposed by TFL to have a direct train link via the Dulwich stations between Victoria and London Bridge, so the trainline infrastructure must already be in place to send trains this way. Even if you only ran trains in peak hours, this would remove a significant amount of school and other traffic as children could use the Wandsworth stations. It would also allow Dulwich to have far better connections out via Clapham Junction which would make train commuting preferable.