What are you using for a chamber, Nick? Any oil filled vacuum pump will put out an oil mist when it is moving any amount of air, primarily when you first start up. Once you get down to full vacuum, the mist should stop. If it does not, that usually indicates a leak in your system somewhere. Use shaving cream on all places where it could leak and then pull a full vacuum with the chamber empty. If you have a leak, the shaving cream will disappear at the leak.
Please disregard any of the crap about how hazardous the mist is that you may see on the net in different forums and youtube. Vacuum pump oil is simply highly refined mineral oil and the MSDS is totally benign. In other words, the mist will not hurt a thing and is not dangerous at all.