Lime Tree Grafting: Budding Lime Trees To Propagate - Plants are propagated in many ways whether by seed, cutting or by grafting. Lime trees, which can be started from hardwood cuttings, are generally propagated from budding a tree or bud grafting instead. Grafting a lime tree using the budding method is easy to do, once you know how. Let’s look at the steps to budding lime trees.