After dropping two points on Wednesday, Amakhosi could not make big steps to close in on the gap between them and log leaders Sekhukhune United, who were held 1-1 by Chippa United.
The Soweto giants remain six points below Babina Noko, who have played a game more and have four points less than second-placed Mamelodi Sundowns.
That is a rough patch for Chiefs, who were unbeaten in their first five league games but have now gone for three games without tasting victory.