The antonyms for the word "over-flows" are "under-flows," "stagnates," "dries up," and "trickles." Under-flows mean when a liquid is flowing beneath a surface or ground level, such as underground springs or streams. Stagnates refer to a situation where a liquid stops flowing and becomes still. Dries up refers to a situation where a liquid that previously flowed through a particular area no longer exists due to evaporation or other factors. Lastly, Trickles refer to a situation where a liquid flows in a thin or slow stream. These are the opposite of the word over-flows and signify situations where the liquid is controlled or limited in some way.