Just put a new crankset with chainring on a road bike. Put on a a chain, tightened nuts, and had a tight chain. But, when I started riding the chain fell off. I examined and it appeared the chain wasn't fitting in between the teeth in most parts of the chainring even when I tried to push it in.

The 3/32" chain measurement doesn't appear to me to be a problem because it is somewhat snug in spots and the ring is advertised as 3/32". My guess was the 1/2" measurement is at issue. My other guess was regarding the height of the chain. I have been using KMC Z33 and KMC Z50. I think it is the Z50 that is marked narrow. In any event, the chain I was using is marked narrow. Perhaps narrow regards the height and a limited height prohibits the rollers to fit in. But, as I think about it, I bet a too high chain could prohibit rollers from fitting in between teeth.