My Australian education would recall that water structure is constantly changing, and that no "memory" lasts more than a few nanoseconds. No structure has been observed in any form for a longer period than this, or any kind of cyclical/regenerative states based on non-reacting impurities or solutes in the water.
Of course, this is all in relation to room- or body-temperature water, which is quite energetic and liquid. Environmental effects are a bit different. Closer to freezing everything slows down and the molecules start to line up in preparation of forming ice crystals. Usually, I'd hope this doesn't happen in a purification plant in-pipe or a human body. Either scenario is unpleasant.