Not new, but it's worth noting that this seems to be just a web app in a wrapper. I don't see all the options in the screenshots in the article. (I don't see Nominate a Pharmacy.) My GP surgery has been using the Patient Access app for years. There are many third-party apps that can interface with the NHS.
Worth noting that I've been living in the UK for 11 years, and am still stunned that it takes a week to get a repeat prescription. It used to be three days at my GP, but they extended it. When I lived in France, I took my prescription to a pharmacy and walked out a few minutes later with the drugs. Silly system in the UK, but I guess it has to do with GPs wanting to make money from having to approve each prescription, rather than setting up a longer-term prescription that doesn't need to be re-approved each month.