The Faroe Islands are not a member of the European Union, similarly they are not a party to the EMS-agreement
This implies that special stipulations apply for bringing goods into Faroes. It is recommended that you contact the Faroe Customs authorities regarding the current Customs Stipulations.
Here you can see what you as a passenger, tax- and duty free, are permitted to bring into the Faroes.
Customs Regulations.pdf(88 KB)
As the Faroe Islands are not part of the European Union you will find that the tax-free goods generally are cheaper at Vagar Airport than in mainstream European airports.