There is a new book on Faroese: Faroese: An overview and reference grammar. It can be ordered from http://www.bokasolan.fo/. There are some instructions in English available.

Abstract:

This book is intended as an overview and reference grammar of the modern Faroese language. It covers the relationship between Faroese orthography and phonetics, inflectional morphology, derivational morphology, syntax, dialects, and the history of the Faroese language