Abafana Bes'thende went into this encounter desperate for a win having gone six matches without winning.
Their visitors were looking to record their second successive victory in the league having defeated Baroka FC in their previous game.
Chippa had the best chances in the first half, but Arrows goalkeeper Nkosingiphile Gumede was in good form for the home side.
The former South Africa youth international pulled off two good saves to deny Chilli Boys attackers Kurt Lentjies and Kabelo Seakanyeng.
Arrows and Chippa were locked at 0-0 at the interval.
Abafana Bes'thende had a much better second half as they looked to take the lead in front of their own supporters.
However, Chippa's Nigerian goalkeeper Daniel Akpeyi, who had a quiet first half, made a fine save to deny Arrows striker Knox Mutizwa.
Ultimately, Chippa were able to contain Arrows, and the match ended in a 0-0 draw with the two teams sharing the spoils.
The draw left Arrows and Chippa placed 12th and 14th respectively on the league standings.
Ea Lla Koto were eager to snap their six-match winless run in the league when they hosted the Highlands Park side that was keen to maintain their unbeaten start this term.
Both teams created chances in the first half, but they could not convert them on a rainy night in the small town of Bethlehem.
The score was 0-0 at the interval following lively first half.
The deadlock was finally broken six minutes into the second half following a good move by Ea Lla Koto with the Lions of the North defence exposed.
Eleazar Rodgers set-up Tshepho Tema, who headed past Highlands Park goalkeeper Tapuwa Kapini to make it 1-0 to Stars.
The hosts were then reduced to 10 men after speedy right-back Nyiko Mobbie was sent off with 15 minutes left on the clock.
However, Stars goalkeeper Badre Ali Sangare pulled off some good saves late in the game to ensure that the hosts emerged 1-0 winners over Highlands Park.
The victory saw Ea Lla Koto move to 10th place on the standings, while the Lions of the North remained in eighth position.