The short answer is I don't know, but most sources say a vehicle wrap should last from 3 to 7 years. You have to consider, though, that a typical application would be outdoors and subjected to some harsh weather conditions and those aggressive whirling brushes at a car wash. For use as a clock dial, however, the material would be indoors and protected behind the clock's crystal, so I guess its life span would be way longer. One thing that might be a consideration is heat generated by the movement's coil, but its effect remains to be seen. My first reproduction dial was your plain ol' sticky-back vinyl that I applied to a 1st Generation Buffet; it's been a couple years now and doesn't show any discoloration from the coil. This vehicle wrap vinyl is made to be durable, as are the inks used for the graphics and I'm really impressed with its ease of use. However, it is more costly than other adhesive back vinyl products.........
When it comes to cost paper is the most economical. I recently had Kinkos print-up some 1st Gen 2F02 reproduction dials on their heaviest paper, they turned out fantastic and only cost a few bucks. Because the paper is so thick, it lays flat and, being held in position by the crystal and bezel, I didn't feel the need for any adhesive. The only draw back is the low gloss, but printing on photo paper might be a better alternative. Here's a picture of the result.
