Eleven enquiry offices are being closed, including those in Exmouth, Honiton and Tiverton to save money.
Twenty seven jobs are being lost as a result of the cutbacks.
Nigel Rabbits, from the Police Federation, which represents rank and file officers, says there's not enough cash to go around.
14-year-old girl missing from Exeter
Lola Tinkler was last seen on Saturday
Man reattaches flags moments after removal
He scaled his ladder as council contractors used a cherry picker
Rocket builder careers in Cornwall to soar
Government boost to fill demand
'Twas the weather warning before Christmas
More heavy rain hits Devon
Police watchdog investigates after fatal Plymouth crash
Young biker dies
