The register
The register lists LoyaltyLion in London as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. Its rating on the register is Worker (A rating).
Loyaltylion Ltd is the registered name (Companies House number 08264116), a private limited company on the register since 2012. Registered office: Hubhub Hubhub Loyalty Lion, 20 Farringdon Street, London, EC4A 4EN, EC4A 4EN. By its SIC codes the business is in professional and technical services. It has traded under other names before, including Prizgo Ltd.
A licence says an organisation may sponsor; it does not say it is hiring today. The way to find out is the same as for any employer: the careers page, the job boards, and a direct approach with a UK-style CV that says early that sponsorship would be needed.