Same here - I'd give it a little while to fully dry (3-4 days after application), but I haven't had any issues as far as aggressive car-washing, pressure washers, etc. If you start peeling an edge, it'll come off because that's what it's supposed to do, but if it's on there and cleanly done, no worries. I did the badges on my previous ride and they held up great for ~6 months before I upgraded to the Jeep.
There's a bunch of good youtube videos up there from www.dipyourcar.com
that talk about durability/removal/etc. if anybody is curious.
2014 Overland 4X4 3.6L w/ Adv. Tech, Billet
and Black, Weathertechs, pedal covers, tinted fronts, Plasti-Dip, random tools/gear, bumper harpoon...