Q is for Question Time - 'ello, 'ello, 'ello!

Another plea for help from Chris Smith with another interesting figure; going full civi' this time but remaining in uniform with an unknown Policeman;

In Chris's own words; "Another unknown, hard plastic 60mm scale well painted factory paint but sadly missing a hand  . . .  Metal square pin sticking out of the base, looks like it was plugged in to something which drove it round or was he the key to wind something?. Made a base stand out of an odd chess piece so it can stand."

And; "Pictured [here] with Timpo to the left, Kentoy/Cavendish to the right and a Hong Kong copy of Timpo (or is it?..)"

My own thoughts were that it might be a tourist keepsake type item, but not necessarily British, I was thinking somewhere like Gibraltar, Malta, even Cyprus? Or; one of the Caribbean islands? Anywhere that had the UK style uniform in the post war period?

The metal locating-spigot is a tad-too substantial and serious-looking for a toy figure, so it may have been on a bit of polished stone, or a wooden plinth similar to the one Chris knocked-up from a chess piece?

The sculpting style is similar to a polystyrene Tyrolean squeezebox-player I have somewhere (who is on a plastic plinth or pencil sharpener I think), so both may have come from the same manufacturer, supplying the museum/tourist trades? Equally; he could be from a board-game?

Anyone got any other ideas? Or on the far right figure in the second picture (BR Moulds?) Anyone got a complete one?