Unfortunately, everybody's skin is different and this stuff is really no different from any other moisturizer in that it has the potential to make you break out (i think this stuff is very over-hyped, to be honest).
I experimented with jojoba oil for over a year (used it consistently for months at a time) after reading all the glowing reviews in which people claimed it changed their life. But even as it gave me dewy skin and relief from the annoying dryness that often accompanies the use of acne topicals, more often than not, whenever I used it, it just led to more zits (even as my topicals seemed to be clearing me!).
So yeah, I wouldn't recommend this for people with oily acne-prone skin. In the first place, acne is essentially caused by an overproduction of sebum (which contrary to popular belief, results solely from hormonal fluctuations--NOT dry skin!) that gets trapped in the follicles and becomes impacted. Unless you're doing a round of accutane, putting more oil on your acne-prone skin is more likely to result in additional pore cloggage pores and zits.