When the coalition came in, one of Osborne's first acts was to push the banking regulators to issue more banking licenses, due to that 100 year+ stagnation. Since the coalition, there have been a variety of new licenses issued, so the problem is now resolved.
It's not just ComputerWeekly. 'First new banking license issued in the UK since the 19th century' gets a lot of hits on Google. I'm pretty sure it would have been corrected if it were incorrect.
Anyway, there's well over a hundred banks listed, and around forty building societies, so there's hardly a lack of competition.