There were also Bechuanaland Border Police involved too. Some of these were part of the Shangani Patrol. Images of the Shangani Patrol typically show an irregular civilian look, but the patrol was a mix of volunteers and police.
Photo of some individuals of the Shangani patrol:
This modern Batswana stamp seems to show a khaki uniform and slouch hat for the BBP:
So it seems they did possess as uniform, but I don't know if they wore it during the war.