Yes I would recommend this to acne prone sensitive skin. The thing about a lot of cleaners targeted for oil control is that depending on you skin (of course everyone is different) your skin will actually create more oil to compensate for what a harsher cleanser will strip, and in the long run doesn't work out. It's kind of like how lip balm doesn't actually help chapped lips, it makes them feel better short term but actually makes it worse in the long run.
Since you have sensitive skin, I would also highly recommend this because skin irritation is another major cause of breakouts.
I have extremely sensitive skin, and even have bad reactions to some hypoallergenic products, and I am very happy with Cetaphil.