The register
The register lists Coyle Personnel LTD in London, Greater London as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. The register records its rating as Worker (A rating).
At Companies House the business is Coyle Personnel Limited (company number 02281209), a private limited company incorporated in 1988, 38 years ago. The registered office is at 4th Floor, Harrow Business Centre, 429-433 Pinner Road, Harrow, HA1 4HN, HA1 4HN. Its filed activity puts it in recruitment and employment agencies. It has traded under other names before, including Coyle Personnel PLC, Coyle Site Services Limited.
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.