Q.What To Do With A Three Stemmed Yucca Which Is 2 metres High From Top Of Pot And Hitting Conservatory Ceiling.
I think it is an elephantipes type and is over 20 years old.
Stems are approx. 1.6 metres without any leaves.

Certified GKH Gardening Expert
This can by remedied, usually, by pruning. Since it has three main stalks, you can start by pruning one to the height that you want it to be. A few days to a week later you can remove another. Finally, the last can be removed in a week after that.
This method will make for a faster recovery, while encouraging branching.
Here is an article that will help: https://www.gardeningknowhow.com/ornamental/foliage/yucca/yucca-plants-care-and-pruning-tips-for-pruning-a-yucca.htm