The kid is among 10 kids aged five and under investigated for crimes, since May 2009.
Police officers from Strathclyde police went to his home after receiving a complaint of damage to household property, reports The Times.
The increasing number of real-life enfants terrible is raising concerns among criminologists and social workers.
Chris Grayling, the shadow home secretary, said the figures were worrying. "This is a clear manifestation of the first signs of offending," he said.
"These instances underline the very deep social problems we have in some parts of the country. It is part of the very complex picture we call broken Britain," he added.