The draw leaves the Chilli Boys placed seventh on the Absa Premiership log, while Abafana Bes’thende also remained ninth on the league standings.
The visitors had chance to score from a free-kick just nine minutes into the game and Kudakwashe Mahachi’s effort from the set-piece sailed over the crossbar.
In the 16th minute, Arrows forward Frank Mhango came very close to netting as he challenged Chippa goalkeeper Daniel Akpeyi, but the ball missed the target.
The in-form Malawi international then found some space just outside the Chippa box in the 33rd minute and he unleashed a powerful shot which failed to trouble Akpeyi.
Chippa full-back Nkosinathi Mthiyane received the first booking of the match on the stroke of half-time following a bad challenge on Arrows youngster Nkanyiso Cele.
Ten minutes after the restart Chippa midfielder Buyani Sali forced Arrows shot-stopper Mbaeva into a decent save as the home side searched for the opening goal.
Andile Mbenyane pulled the trigger from range in the 68th minute and the Chilli Boys playmarker’s effort sailed over the Abafana Bes’thende goal-posts.
With seven minutes left on the clock, Thamsanqa Sangweni’s dangerous curling attempt from a corner-kick was easily gathered by Namibian keeper Mbaeva.
Nevertheless, the Chilli Boys and Abafana Bes’thende drew 0-0 and the two sides shared the spoils on the day.
Chippa (0) 0
Arrows (0) 0
Chippa: Akpeyi, Thopola, Okwuosa, Maponyane, Mlambo, Mthiyane, Zulu (M.Cele 72′), Sali, Sangweni (Zuke 93′), Mbenyane (Mbokoma 84′), Molangoane
Arrows: Mbaeva, Mngwengwe, Dube, Mathiane, Hlongwane (S.Dlamini 60′), Mahachi, Mhango, Bilankulu, Shitolo, Cele (Molefe 67′), Sibeko (Sikhakhane 82′).