The register
The register lists CTT Law Ltd in Leamington Spa, Warwickshire 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 Ctt Law Limited, number 11535162, incorporated 2018: 8 years of filings behind the name. Registered office: Gables House, 62 Kenilworth Road, Leamington Spa, CV32 6JX, CV32 6JX. Its filed activity puts it in professional and technical services.
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.