Construction Grammar is an emerging theory of language, but the analysis of sociolinguistic variation is still relatively underdeveloped in the framework. In this article, we consider the representation of social meaning in Construction Grammar through a corpus-based analysis of double modals in British English on social media. We describe the use of double modals in a large corpus of geolocated Twitter posts, including presenting an inventory of observed double modals and maps showing the regional distribution of each of these forms. We find that double modals show a general northern pattern and are concentrated in the Scottish Borders. We also find various rare double modals that occur more widely across the UK. To account for these results, we propose a Construction Grammar account of double modals. We argue that defining double modals as grammatical constructions requires that aspects of their social meaning be delimited, especially register and region. Furthermore, we argue that double modals may be enregistered as dialect constructions, distinguished from standard constructions of British English. We conclude by considering the importance of incorporating social meaning into Construction Grammar, underlining the value of a Cognitive Sociolinguistic approach to grammatical theory.