Film capacitor covers quite a broad range of parts. In addition to different dielectrics with different characteristics, more important in this context is the type of electrodes. You can have foil electrodes (eg, FKP polypropylene) which are used in RF circuits (low inductance) and metalized electrodes, sprayed onto the dielectric film. There are also two types of metalized film: the thicker type, which is used for high pulse current applications (Epcos do a bunch), and the almost transparent type used (as dietert1 says) for self healing types. On overvoltage or dielectric overstress, FKP and high pulse metalized film caps will fail catastrophically (short circuit). Self healing types will burn back some of the thin electrode film around the puncture in the dielectric film, sometimes even isolating complete sections. This leaves the capacitor still operational but with reduced capacitance, this happens on every overstress event. Whether the capacitor remains 'functional', and for how long depends on how the surrounding circuit copes with the reduced capacitance. If you check the datasheets for the various types, you should see a variation in operating voltage to dielectric withstand voltage. This applies also to capacitor dissipation - the AC current it can carry and the rise time (dV/dt), these are a function of frequency and waveform.
Self healing types are used for class X filter capacitors which must fail safe (not short) in across the mains applications. Motor run capacitors are also of the self healing type. This is preferable to the capacitor shorting and taking out one of the motor windings. They are subject to spikes and surges the same as X caps are. At a certain reduction in capacitance the motor will loose power, eventually to the point of not starting.
Motor run capacitors are actually rated according to MTBF. Taking a quick example from the web, I see a capacitor that is rated for 10k hours at 425V~, the same capacitor is also rated for 475V~ but the MTBF drops to 3k hours. Yes, the capacitor has a dielectric withstand voltage, and is probably quoted for an operating voltage on a distributor's website (probably 450V in this case) but this doesn't appear on the capacitor case, just capacitance, tolerance, and the two voltages, with MTBF figures. Clearly, by increasing the 'voltage' of the cap, you have increased the MTBF, probably greatly - in the above example changing the operating voltage by 50V around 450V leads to a 3:1 ratio in MTBF.
All self healing caps will degrade in value over time, both from mains spikes and inductive back EMF spikes from the motor during switching. The figure to focus on though, rather than dielectric withstand, is what is your acceptable MTBF for the motor operating conditions. You probably want to de-rate further if the motor is frequently cycled versus one that is constantly running.