I live in central London (North Kensington). I have been renting privately for many years but the landlord now has to sell the property. The rent is cheap for the area (600pcm) as the flat has no central heating etc and the landlord was friends with my parents. I live with DH and two teenagers who are at school nearby. We cannot afford to rent locally and even if we move to outer London we are looking at rents of around £1300 a month for a horrible property far away from transport (a whole wage). We both work but in the public sector. A mortgage is not an option as we have never been able to save for one and have poor credit rating due to debts we are still paying off - not extravagent we have never had a holiday since we were married - just living costs when we were lower paid than now.
I know there are a lot of people worse off and they have a greater need for social housing. I do however know quite a few people who have pretended to be single parents for example and get social housing even though they are better off than me financially or have moved into the areas from abroad.
I just wish there was some option for people like me who have a connection with an area to stay here and pay a reasonable rent.