If the bleeding from a wound cannot be stopped, it's stanchless. Some people are so talkative that the flow of words coming from them could be described as stanchless, too — it seems that it can't be stopped.
Anything that flows or pours out might be described as stanchless. You might read about "a stanchless flow of refugees" from a war zone, or the stanchless river of water pouring from a broken water main in a city. If someone is weeping inconsolably, their tears seem stanchless. Stanchless is a relatively uncommon word, mostly used in literature. It's derived from the verb stanch, meaning "stop something from flowing." The suffix -less serves to deny or negate that act of stopping.