Best luck, Lucy! : )
I snipped the tips of 2 little false Aralia trees (Dizygotheca, Plerandra, Schefflera - plant with a real identity crisis!) While holding the little bits that I had removed, I wondered if a cutting so small could have any hope. Usually I just compost little bits like that. Out of curiosity, I poked them into the soil in the same pot and after about a month, the leaves are still green. I think they would have turned brown by now if they were going to.
What I removed was maybe ½" of the tip. Not enough to notice anything had been done, but should be enough to cause additional branches.
The 2 tree tips look much better than the Geranium (Pelargonium) stem that was stuck there about 2 months ago. If the Pel stem does nothing but stay alive until spring, that's fine with me.