The result means log leaders Mamelodi Sundowns - who are five points richer than Chiefs having played an extra game - can claim Premiership honours if they win their remaining two matches.
Wits, in third spot, are effectively out of contention.
In an evenly contested tie, the visitors threatened early on, as Siphiwe Tshabalala and George Lebese flashed shots wide before Kingston Nkhatha drilled a useful effort straight at Moeneeb Josephs in the opening 10 minutes.
Gavin Hunt's men, though, nearly replied with interest five minutes later, as Sthembiso Ngocbo's low strike on the angle required a fine save from Amakhosi skipper Itumeleng Khune.
At the other end, Bernard Parker curled a free-kick on target midway through the opening stanza but Josephs was perfectly placed to punch clear.
The Clever Boys, who looked dangerous on the counter, came agonisingly close to netting minutes before the interval, but Ngcobo's header clipped the top of the crossbar off a Jabulani Shongwe corner.
Parker had the last chance of the half but his low shot on the turn was scooped up by the watchful Josephs.
The Students were denied by the woodwork again in the 49th minute, as Asive Langwe's first-time attempt rattled the upright, while Ngcobo later had an effort chalked out for offside.
The Glamour Boys then wasted two great opportunities in quick succession just past the hour-mark, as Nkhatha volleyed over from close range before Lebese failed to connect inside the area.
Chiefs substitute Katlego Mphela almost snatched a last-minute winner but the former Bafana Bafana star headed a Tshabalala cross against the goal-frame.