I 3D-scanned my digital parking timer with a Shining3D Autoscan Inspec. I then created a new windshield mount in Fusion 360 that doesn't fall off easily as the original one does (the original has two tiny tape pieces on curved surfaces).

The parking timer snaps in very satisfyingly using the original clip geometry.

To mount it to your windshield, you will need a piece of double-sided foam tape, 19mm/0.75in wide, about 70mm long.