Snapping pen at curve

[Tyson of the Northwest]

I am doing a lot of crosshatching and I keep overrunning existing lines. Is there a way to snap the pen to a curve so it doesn't go past and I have to get in an adjust nodes for every end node. I am not particularly precise in my penwork, unfortunately.

[Pšenda]

"Snap to object geometry" (Snapping options), or "Snap to geometry of selected curves" (Node Tool)? 

[R C-R]

If the crosshatching is applied to a curve that encloses an area on the document (open or closed), you can just clip the crosshatch lines to the curve, so you do not have to be precise about where they begin or end:

  

To clip the crosshatch lines, on the Layers panel select them all & drag them onto the curve, like in this clipped crosshatch example.afdesign file (history included).