Cutting back Choisya

Last summer, when clearing my garden of unwanted trees, shrubs and overgrown ivy, I had to cut my two Choisyas back to about a foot from their bases, to get to the ivy that had become entwined in the shrubs. My garden was out of bounds all summer while building work was being carried out, and it's only now I've seen the two Choisyas are still just bare stumps with no signs of new leafage. Is there any hope for them? Luckily one of the cuttings I took has survived, but it'd be a shame for these to have died.