Houseplant offsets, or pups as they are sometimes called, are the baby plants that form at the base of certain houseplants.Plant offsets can be used to easily propagate new plants. Wait until the plant offsets have grown at least several inches, then gently detach them from the “mother”plant. Hopefully the plant offsets will have a few roots of their own at this point. Plant the offsets in a small container and keep the plant barely moist but never soggy at all times.