A partition separating two chambers, such as that between the nostrils or the chambers of the heart (6)
I believe the answer is:
septum
(Other definitions for septum that I've seen before include "Partition between two chambers" , "Partition in nose between nostrils" , "Division between nostrils" , "Partition between two cavities of the nose" , "Dividing partition between the nostrils" .)