Having an aggregation relation between two classes means, that objects of that class contain one or several objects of the other classes. Example: Department-Employee. A department contains several employees.
The composition relation is itself a kind of aggregation relation. In addition to the above it says that the lifetime of the whole and the part(s) is thightly coupled. I.e. the whole cannot exist without the part(s) and the parts cannot exist without their whole. Example: Office-Department. The office cannot exist without its departments and keeping the departments without their office doesn't make sense either. Department-Employee is not a composition relation because the employees can easily quit their jobs, retire or get run over by a bus without the company being affected. Also the company may bust and the employees can still live on.
In your example I'd say, the office-address relation is neither an aggregation nor a composition, because the one does not contain the other. It's rather a simple association (no diamond shape on either end).