Composition name Dynamic Link
If I change the name of a a composition in After Effects that I got from Premiere via Dynamic Link, the name will not transfer into Premiere. Instead Premiere still shows the old name which results in confusions on whether its the right composition your editing and more. Also I can imagine that there could be problems reopening the Premiere project so that it will not find the AE comp because of the changed name.
Felix Dames commented
It's also the other way around:
If you import an AfterEffects composition into PremierePro via Dynamic Link it gets the name of the AE composition. If you later on rename the composition in AfterEffects the name in PremierePro project doesn't update! Even saving the AE project file doesn't update the composition name in Premiere. This leads to confusion and it would be great if the composition names would synchronize.