Answer: Honeysuckle can and should be pruned back hard to encourage healthy new growth. If you don't prune, you'll eventually have a plant with bare lower stems and lots of new growth on top. I'd wait to prune until spring, when new growth begins, and just as you're replacing the trellis. You'll be rewarded with healthy new growth and lots of blooms next summer.
The cutting should be potted up and left in the garden until it's time for the move.
Best wishes with your honeysuckle.
Q&A Library Searching Tips