1. A steep cliff or ravine, especially one along a river or coastline.
Usage: chiefly Scottish and Northern English
2. A deep pit or mine shaft, particularly a coal mine.
Usage: chiefly Scottish and Northern English; archaic or regional

Examples

• The river carved a deep heugh through the landscape over centuries.
• Hikers carefully navigated the narrow path along the heugh.
• The old heugh had been abandoned since the coal industry declined.
• From the top of the heugh, we could see the valley below.
• Local legends spoke of dangers lurking in the dark heugh.