When I moved I set up a redirection service with Royal Mail but some post still got sent to the old address. I found that out when I called round to check and was given some of my post by the new owner.
Then about two years later I kept on getting calls from debt collecters. I later found out that the new owner or their tenant had stolen my identity using my old address and obtained a loan, credit card, catalogue goods etc. A look at a credit reference agency checks also showed a lot of other rejected application for things.
It took me a very long time and lots of tears on my part sorting it out.
I always warn everbody not to rely on redirection services and most importantly don't just notify the council of your new address for the electoral register but to also tell them of the address that you don't live at anymore. I naively thought that the new occupant would fill in the electoral register form for their new address. They didn't though because it helped them with their fraud.
When I was asking what checks the organisations had made before giving the fraudster the loan etc. They said they had checked the electoral register and asked for proof of address.
When I tried to report it to the Police they didn't want to know at first because the fraud wasn't against me it was against the bank etc. and it was up to them to report the matter. They don't though because the money involved is small change to them. It was only when I kicked up a fuss did the Police look into the matter. However, they couldn't do anything as they couldn't establish if it was the new owner or their tenant.
For a good few years after I had to monitor Equifax reports to check that no other fraudulent applications were being made.
The whole experience was hell.