grade of wood; quality of wood
Refers to the classification or quality of wood, often in contexts like lumber grading or woodworking.
This lumber is of good quality, so it can be used for furniture.
wooden grip; wooden handle
Specifically a wooden grip or handle, such as on a handbag, tool, or umbrella. Not a general term for any wooden handle.
The wooden grip of that bag fits comfortably in the hand.
To finish the end grain neatly, use fine sandpaper.
Compound of 木 (ki, 'wood') and 口 (kuchi, 'mouth' or 'opening'). The reading きぐち is a straightforward kun'yomi combination. The specific meanings derive from the idea of the 'mouth' or exposed end of wood, and by extension, the quality or grade of wood, and a wooden grip.