The register
The register lists A P Chemist 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).
A.P. Chemist Limited is the registered name (Companies House number 04679538), a private limited company on the register since 2003. The registered office is at 129 High Street Colliers Wood, London, SW19 2HR, SW19 2HR. Its filed activity puts it in retail.
Holding a licence is the expensive, slow part done. For A P Chemist Limited the question each time is only whether the role and the pay fit the current rules, and that is checked per vacancy.