Three youths have been quizzed by police in connection with criminal damage in the Poundbury area, officers said.
It follows a spate of graffiti discovered around the estate.
This comes as police investigate reports of anti-social behaviour generally around the area.
Police said they were progressing with that investigation following reports of criminal damage and anti-social behaviour.
Any further information can be submitted to Dorset Police with crime reference 55230161612.
Regarding the graffiti inquiry, a spokesperson for Dorchester Neighbourhood Policing Team said: "We have been investigating reports of criminal damage, after graffiti was discovered in a number of locations in the Poundbury area during the summer.
"As a result of enquires, three young males have recently been interviewed by the team. They have since been released under investigation and enquires continue."
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