Chest acne which is a form of truncal acne (including the chest and back) usually does not respond well to topical acne preparations in my experience. This could be due to non-compliance with the treatment as it is usually more inconvenient to apply something on the chest or due to the slower response rate.
In my clinic, I would normally recommend a course of oral antibiotics with or without
Roaccutane depending on the severity of the condition. Unfortunately, the results, although good, cannot be considered as a permanent cure as acne tends to be a chronic recurrent condition.
Hope this helps.