There's a variety of Consumer Access Devices (CADs) which talk to the HAN and provide data in whatever format they feel like (mostly uploading it to their own cloudy motherships, although one or two offer local access). The Octopus Mini is a CAD, but it's not the only one.
Using the Bright app and no CAD I did manage to get half hourly data with only a few minutes delay, so there does seem to be a way to get more timely data from the DCC. Only a CAD will give you live data, though.
Theo