Have you tried selecting the layers and making into a Smart object?  I am not entirely sure of what you want to achieve, but I think that might be the answer.  Double clicking the Smart object will open it as layers in a new document that you can edit and save, or you can Freet transfor the entire Smart object in the original image.

Do you have a specific reason you need to use clipping paths instead of vector masks?

Pick the Path selection tool, the black arrow (Shift + A until the black arrow is selected), select with it the path you have created, and cut it (Ctrl + X). Press the Escape key on your keyboard twice to make sure no path is selected in the Paths panel.

In the Layers panel, select the layer you want to transform together with the path and from the Layer menu choose Vector Mask > Reveal All, and Paste (Ctrl + V).

If you want the pasted vector mask path to be displayed like a regular path without masking the image, Shift + click the vector mask icon next to the layer icon in the Layers panel. This disables the masking. If you want to edit or create additional paths on the vector mask, first make sure it is selected (clicking on it icon selects it) and then use any of the path editing or creation tools. Pay attention to the boolean mode of the path creation tools when adding new paths to the mask. These are the last four buttons on the Options bar under the main menu when you have path creation tools selected. To see the effect of these options, Shift + Click on the vector mask icon to toggle the masking effect.

When you need to transform layer just do it and the vector mask will transform along with it.

When you finish working on the project, select the vector mask icon in the Layers panel, go to the Paths panel, and from its popup menu at the top right, choose Save Path. Give it a name and press OK. Then from the same menu choose Clipping Path.

If not needed you can delete the vector mask of the layer by selecting its icon and pressing Delete key on your keyboard.