cordvision:
Thanks for your replies. If chassis wiring applies, couldn't I even use 26 AWG wire? It has a chassis rating of 2.2 Amps which would give me plenty of overhead.
Probably, but depending on the size of the product, it might be worthwhile to run something bigger just in case and never have to worry about it. You also don't know how large of current transients you'll experience, so leaving yourself lots of margin is nice and good practice. Also make sure to cover high enough voltage and temperature rating on the jacketting.