If a house has running water, water is supplied to the house through pipes and taps. a house without electricity or running water in a tiny African village
You can use running when indicating that something keeps happening. For example, if something has happened every day for three days, you can say that it has happened for the third day running or for three days running. He said drought had led to severe crop failure for the second year running
Successive; one following the other without break or intervention; said of periods of time; as, to be away two days running; to sow land two years running
(American football) a play in which a player runs with the ball; "the defensive line braced to stop the run"; "the coach put great emphasis on running"
If someone is making the running in a situation, they are more active than the other people involved. Republicans are furious that the Democrats currently seem to be making all the running
the act of running; traveling on foot at a fast pace; "he broke into a run"; "his daily run keeps him fit"