Wits were first with the early attacking foray when Thulani Hlatshwayo's shot from range shaved the wrong side of the post after the opening 10 minutes.
Chiefs sprung to life and Ramahlwe Mphahlele’s pin-point cross found Leonardo Castro in the box, but the Colombian failed to head on target on 18 minutes.
It was to be the visitors drawing first blood when Deon Hotto got his second in his many matches with a top-drawer strike on 23 minutes.
The Amakhosi nearly responded, but Bernard Parker’s cross-cum shot flashed across the face of goal away from the reach of Castro five minutes later.
The leveler eventually came and it was Castro at the end, heading home a free-kick by Khama Billiat on 32 minutes.
Castro was buzzing and came close to a second before halftime, but was unable to turn home a low cross from close range.
The Students regained the lead through Zimbabwean striker Terrence Dzvukamanja heading home at the far post following a cross from Sifiso Hlanti.
It got worse for the Glamour Boys at the start of the second half when Gift Motupa scored his first for the club with a cool finish after an assist from Hotto.
On 57 minutes, Parker’s corner from the left found an unmarked Eric Mathoho but the lanky defender headed embarrassingly wide.
In the latter stages, Billiat came close to adding another for the hosts but his shot sailed narrowly wide of goal.
The Students brought on veteran Vuyo Mere for his debut, replacing the influential Hotto eight minutes to go.
The victory gives Gavin Hunt’s boys two wins out of two, while maintaining their position on top with a 100 percent record after two match days.