The register
The register lists KC local store in Dunfermline 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 the business as KC Local Store Ltd, company number 17408916, a private limited company. Registered office: 22 Turton Road, West Bromwich, B70 8LA, B70 8LA. Its filed activity puts it in retail.
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.