The register
The register lists The Cataract Centre Limited in London as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. Rating on the current register: Worker (A rating).
Companies House lists it as The Cataract Centre Limited, number 03336479, incorporated 1997: 29 years of filings behind the name. The registered office is at 93 Tabernacle Street, London, EC2A 4BA, EC2A 4BA. By its SIC codes the business is in health care.
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.