Green’s Dictionary of Slang

(Irish/Cork) small and neat, usu. of a child or woman.

2015		L. McInerney Glorious Heresies 75: A doonshie wan of no more than four [years old].
2017		L. McInerney Blood Miracles 19: ‘The doonshie dealer,’ he said. ‘I’ve been told all about you’.