Budding meaning : To form buds. To reproduce by splitting off buds. To begin to grow, or to issue from a stock in the manner of a bud, as a horn. To be like a bud in respect to youth and freshness, or growth and promise. To put forth as a bud. To graft by inserting a bud under the bark of another tree. The practice of uniting a single scion bud with rootstock or bark; the result of this practice. Beginning to develop.