|1.||motion in a forward direction: the vessel made no headway|
|2.||progress or rate of progress: he made no headway with the problem|
|3.||another name for headroom|
|4.||the distance or time between consecutive trains, buses, etc, on the same route|
Advance, make progress, as in We haven't made any headway with this project. This expression, first recorded in 1887, uses headway in the nautical sense of "a vessel's forward movement."