After lunch I made off the cable ends on the back of the socket box and mounted it thinking I'd have to leave it at that until I got some flexible conduit for the far end of the signal cable.
But after a bit of cogitating a vague memory of a bit of 16 mm plastic coated steel Adaptaflex tucked away somewhere rose to the surface, so after supper I went hunting. A bit of rooting about in my 'may come in useful' store produced just over 4 meters and it was complete with the terminations - I guessed that I needed about 3 metres so luck was on my side

One end had a 15 mm bush termination and the other was 20 mm. As I intend to mount a 2" square galvanised 'adaptable box' on the existing 20 mm fitting on the chuck bulkhead and these boxes come pre-stamped for 20 mm holes, the 15 mm bush went in the cabinet base. I then pulled the conduit through the bowels of the machine and was able to follow the existing conduit that takes the Tool Setter arm cable and cut it off to length with the battery powered angle grinder. I then swapped the 20 mm fitting from the off cut to the bit being used.
Now as the signal cable is still on the reel, it's important before cutting to reel off enough for the job, but not too much to waste it. So firstly I pushed my flexible 'pullthrough' though the conduit - marked the nylon and then pulled it out as a measure leaving a conservative bit extra.
Then it was a case of re-threading the pull through from the far end, taping the signal cable to it, and pulling it through. VERY easy to pull the taped joint apart, especially as this conduit follows quite a contorted route, so it was a relief to see the taped joint emerge unscathed.
There was one bit of the plastic sheath of the conduit that had been scraped in a previous life, so I made that good with 'self amalgamating tape' (brilliant stuff that when stretched and wrapped bonds with itself into a solid rubber sheath)
So now I'm waiting for the 'adaptable box' to arrive. It will have a 20 mm hole bored in it's rear face which will be used to mount it when eventually the old cable is removed and the new made live.
But that won't happen until the OMM receiver and probe return from their antipodean holiday when PK has waived his magic wand over them.