Originally posted by dngr Not entirely sure what you mean, ...
"Cross-chain" happens when you use your gears in such a way that the chain runs from one extreme on the back cluster to the other extreme on the front chain ring set, e.g. lowest gear at the back and highest gear at the front, or the other way round.
This causes the chain to rub against the side of the gears, and the chain ring in particular gets worn away quickly, being softer aluminium. Usually the chain will also start rubbing against the front derailleur chain guides.
I typically do not use more than the first halve on the back cluster before shifting to the middle chain ring. Same for the third chain ring, I only use the last half of the back cluster in combination with the big blade.
Making the chain narrower will no doubt make the back cluster also narrower, but 10 and 11 speed with just one chain ring seems like you must be close to a "Cross-chain" situation when in low or high gear...