I thought the question was not about the self-evident connection to Calman Links the famous London furrier, but about who created the sculpture and what it might be worth?
The signature looks to me like “F Lessore” and my guess is that this is Frederick Lessore (also known by his full name Frederick Lessore de Saint-Foix), active between 1905 and 1951. Lessore sculpted mainly portrait busts and I’m not aware of him making animal figures but the signature here appears to be followed by the letters “SC”. That’s short for “sculpit” (Latin for” he/she carved it”) and usually appears alongside the name of the modeller for an artwork which was originally created by another artist. A sculptural copy of someone else’s earlier work if you like.
At the time banananob’s mother was working for Calman Links they would have been at 33 Margaret Street W1 not at Brompton Road SW3. Until Lessore’s death in 1951, his studio was at 7 Bruton Place W1 (also operating as the Beaux Arts Gallery from 1923) which was about half a mile from Calman Links’ premises. By this time the company was being run by his son Joseph Gluckstein Links (but still in his father's name).
I would guess that Links and Lessore were known to one another and that this work was a made-to-order commission for shop window or counter display, or perhaps sat on managers’ desks.
It’s not exactly a shining example of sculptural skill so won’t have much value on that basis, but somewhere there will be a collector who wants it for commercial history reasons. Difficult to value on that basis but, even though there will probably be very few of them, I wouldn’t think it terribly valuable.
