Chinchillas have no smell like the rat or guinea pig, so they can make decent apartment pets. Weekly cage cleaning will keep them virtually odor free. There’s no comparison between chinchillas and a cat box!
However, odor is important in knowing when there are problems. Strong ammonia odor means that cleaning is due. If you recently cleaned cages, you might consider a different type of cage shavings product.
Some have less capability of neutralizing odors than others. Sometimes there is an “off” odor when your chinchilla has a parasite like giardia. So be aware of “normal” odors, and “abnormal” odors. But chinchillas do not have a “musk” odor like ferrets, nor a strong odor that sometimes accompanies rabbits or guinea pigs.