I had this happen on my LS, it turned out to be the oil temp sender that pokes out the left side of the engine just in front of that carbie.
Take it out and clean it with a rag, put it in your mouth thread first, blow as hard as you can.
Now you will see oil has come out from under the bakerlight stuff that seals the spade connector that the wire slips onto

.
They fail here big time, under engine presure it will blow a slow stream of fine atomised oil onto your left side Bing.
This will look like your bing is leaking oil.
Only fix for this is buy a new one.
Hope this helps, and don't go sticking steal or other metal wool into your intake tract, it will make it's way too your pistons at some point.