These days it probably makes more sense, especially for those of us in the Scottish Diaspora, to think of the clan more loosely as a family association. That said, some clans are more organized than others.

For instance, the House of Gordon has state and regional coordinators here in the US. According to their website

The House of Gordon USA began as a branch of the Scottish Incorporation of the House of Gordon, set up by the current chief's father, Douglas Gordon, 12th Marquess of Huntly.
They maintain relatively close ties. I understand that the Earl of Aboyne, son of the current chief, is coming to the US for a House of Gordon event this year.

That said,

The Gordon clan since the 15th century has included both Highland and Lowland
branches of the family and also has branches of the family in Russia, Germany,
Belgium, The Netherlands, Spain, Australia, New Zealand, Canada and the United
States as well as other parts of the world. It was felt that to be called a Highland Clan
only did not truly reflect the history of the Gordons, therefore the Chief chose to call
the clan by the name House of Gordon.