If you have Illustrator, make your lines and shape there, select your lines, choose "Make Compound Path", select your lines and shape, and in the Pathfinder Panel, choose "Divide". Once that's done, simply copy/paste your new trimmed lines into InDesign. Hope this helps...
I'm afraid you will have to paste anyway…
As far as I know there is no Clipping Mask in InDesign.
May I ask why you do not want to paste into a shape?
Many thanks Jeffrey, your solution is very interesting.
I understand that shape go with shape.
I can not cut a path/stroke with a shape in indesign (and also in illustrator). This is very strange!
@Youri > May I ask why you do not want to paste into a shape?
In my case is still the best solution. I try to avoid it because --paste into-- is something like --clipping mask-- in illustrator. When I have many paths the indesign file become heavy!