Have not hit any limit warnings or problems yet. Anticipating the problem, though, I dug a cellar on a one-square island in some rapids and moved a great deal of my most valuable tools, weapons, and furs there.
Likewise, At a day's distance is my first settlement with a split of my possessions, the rest being at a large, fenced-in fishing camp on an island that is approachable through rapids at 5 different points when winter freezes over.