No, I haven't got my foot caught in my 6 years of riding. I also haven't made a habit of coming off the horse, but I'm an old fart who doesn't push my riding hard.
I'm picky about having my stirrups fit! The height of the stirrup can be important as well - a too tall stirrup will allow the foot to go through. I also always wear boots with a heel.
I usually ride with my foot in the 'home' position. With the right stirrup & boot, it would be darn hard to get a foot caught up. Impossible without losing the heel of the boot, in fact.
I gather from the OP's other posts that western riding is the OP's preference. Some posters on HF have said oxbow stirrups make getting caught up more likely & cited it happening with family members.
I prefer leather covered stirrups to bare metal ones because my feet slip more with bare metal ones. I haven't tried an western stirrups with metal & rubber.
I've also considered trying these: Cashel Cozy Toes Stirrup Covers Western Pair
They wouldn't win me any style points, but my waistline, $2 T-shirts, bifocals and wrinkled face ruin my style points anyways...