The act of securing an arriving vessel with ropes(noun)
WordNet. Princeton University. 2010.
Use "tying up" in a sentence
"Sarah Gay finished tying up her work with deft fingers."
"Four shadowy figures were tying up their bedrolls and gathering gear, while seven other man-sized lumps lay on the floor with Mero, snoring in their blankets."
"You keep tying up all of these loose ends, scolded the parsimonious part of Miles's mind, and you'll end up in the poorhouse."