Tesco Bank | 47,846 followers on LinkedIn. Tesco Bank has been around since 1997 and today we help more than three million customers to manage their money a little better every day. This means creating products and services which make customers’ lives simpler, giving them more of what they value, and rewarding their loyalty through Clubcard. Today, through a long-term strategic partnership between Barclays and Tesco, Barclays provides customers with Tesco Bank branded banking products and services.