From where does your saw puke? If your oiler is over-oiling, it should be puking onto your chain. If it's coming from your sidecase, near the sprocket/bar zone, it may be more likely that you have a leaky place,not a problem with the oiler. Possibly a crack somewhere in the vicinity (not likely) but probably that thin metal plate between the bar and the machine is bent, or there is crud behind it creating a gap through which the oil can escape.
First, pull the bar, remove the plate screw, remove the plate and clean the area of all debris or buildup. That plate needs to be absolutely FLAT against the saw body. Use a flat-head screwdriver to gently scrape the flat surfaces free of buildup. Use a tiny screwdriver to pull out any crud down in the recesses. This thin metal plate can get bent pretty easily and I have a feeling this is where your leak coming from. The saw may leak oil even when sitting and not running if this plate is messed up. This is a cheap part to replace.
Then make sure your bar, where it faces up to the plate, is flat and free of debris (I use a brass wire brush or card file for this) and that the oiler entry hole in the bar is not clogged. Then for good measure, clean out the guide rails, top and bottom.
Most of the time things can be fixed or problems isolated simply by pulling apart and cleaning. Your saw is 10 or so years old. It probably just needs some love.