Link function only gets called once, so it would not directly do what you are expecting. You need to use angular $watch
to watch a model variable.
This watch needs to be setup in the link function.
If you use isolated scope for directive then the scope would be
scope :{typeId:'@' }
In your link function then you add a watch like
link: function(scope, element, attrs) {
scope.$watch("typeId",function(newValue,oldValue) {
//This gets called when data changes.
});
}
If you are not using isolated scope use watch on some_prop