Fire chiefs across the region say response times will be slower because of the national strike by firefighters. A 4 hour walk-out is due to start at midday over changes to working conditions. County fire chiefs say they'll still be able to respond to emergencies under contingency plans.
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Emergency services are tackling the fire on Sidwell Street near the centre of Exeter.
Former One Direction star Harry Styles and Hollywood actor Tom Hardy have been in Dorset for filming of their new blockbuster Dunkirk.
The 19-year-old killed father-to-be Shamus McNama at their Bristol family home in February.