Will it grow outdoors in Yorkshire?

It's worth trying. It is deciduous, there will be new buds at the base.
You might try propagating some of the non-variegated parts - leaves or
stems - and try them outside first

According to one web-site it is from the mountains of Japan and is hardy
to -10F
In fact, it would be good to know cultivation methods.

I've only grown it in a pot. It isn't fussy. I give regular water when
it is growing and repot every other year or so

I'm very excited now - and wondering how I got it. Did I, for instance,
'rescue' a small piece from a display

Here it is very common in pots of mixed succulents
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09=ix