The register
The register lists Smythson in London as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. Its rating on the register is Worker (A rating).
Companies House lists the business as Smythson Bidco Limited, company number 16525154, a private limited company. The registered office is at C/O Tmf Group 13th Floor, One Angel Court, London, EC2R 7HJ, EC2R 7HJ. Its filed activity puts it in finance and insurance.
For a candidate this means one less obstacle: Smythson already has the licence most employers would have to apply for. The rest is the ordinary job of getting the interview.