Every shutoff valve, hose bib, and gate valve has packing that seals the stem where it passes through the body. Packing nut compresses it. Over time, the material dries out and loses its seal. Water drips from around the handle -- sometimes only when turning, sometimes continuously. One of the simplest plumbing repairs. Quarter turn on the packing nut fixes most. If not, replace the packing material -- 15 minutes, under $5. Address it promptly because water running down a valve stem damages walls, floors, and cabinets.