Some of the Summer flowering jasmines are not as easy to root from cuttings as say the Winter one (J. nudiflorum). I would suggest as well as taking precautionary cuttings, try also laying down a branch and layering it. (Scratch off the surface of the bark under neath a leaf joint or two or three and peg the branch down so the scraped bit is on or just under the soil surface).
When you do come to move it, Jasmine can be cut back as hard as you like and while it may take a season the regrow to any height,it usually does. Also the roots do go a long way down, so be prepared for some deep digging.