As described in the 2010 CC guide, climbing at Symonds Yat is only permitted on the north-west facing cliffs - from The Introductory Rocks to the Final Zone inclusive.
Open access land, designated under the Countryside & Rights of Way Act (2000) give area access rather than linear access as provided by public rights of way. It also gives a legal right of access specifically for climbing, as well as walking and other quiet recreation on foot.
Please bear in mind however that the landowner still has the right to restrict access for up to 28 days per year (often used on public safety grounds for shooting in moorland areas), and can also apply for longer term restrictions with Natural England (such as bans on dogs, or regular restrictions during particular times of year). It is important to check for these restrictions regularly as they can be added at short notice – all details for open access land in England can be found on Natural England’s website.
Much in demand for group use, but though convenient for instructors it's less well suited to the needs of students. It also creates severe problems of eroded crag-tops, polished routes, and over-crowding. Commercial organizations are required to pay a fee for use of the site.