to bind on: to fasten, wrap, or tie something firmly onto or around something else (a saddle onto a donkey, a bandage onto a wound, a turban onto the head)
At its core this is a hands-on, physical verb: taking one thing and fastening it firmly onto or around another. The same word does the ordinary work of strapping a saddle onto a donkey and the tender work of wrapping a bandage around a wound, because both are the same basic action of binding something on.
That physical picture branches into the word's whole range. Fastening a bandage onto an injury becomes the Bible's favorite image of care and repair, so the word slides naturally from "bandage" to "heal" and "restore." Fastening a headdress or wrapping cloth around the body is part of getting someone dressed, whether a priest being robed or a mourner told to keep his turban on. And binding something so it is held fast gives the word its harder edge: to dam up flowing water, to confine, and by extension to hold the reins of authority.
Because English reaches for a different word in each of these settings (saddle, bandage, bind up, wrap, heal, and in one debated verse govern), it is easy to miss that a single Hebrew verb lies underneath them all. The unifying idea is always the firm fastening of one thing onto or around another.