The difficulty is getting them to provide enough information for you to do this. Often their staff are trained to refuse to provide the information, going so far as to hang up or delay you when you ask for the details. If you can't get their accurate details and correct company name, they can call you as much as you like and the TPS can't do anything about it, OfCom won't do anything about it and no one will prosecute them for failing to provide info via DPA because none of the laws around this have any teeth.

I don't answer unrecognised or withheld numbers at all, but that's not a viable solution if you use the phone heavily for personal or business reasons.