OK......I was going to avoid posting on this again....as I believe that trying to run this engine without cleaning the carb is a huge mistake....however I will tell you how to adjust the carb on a 2 cycle engine. (And so that Bill believe my credentials I have worked on chainsaws since 1973, and I currently own 3. I have probably repaired a couple of hundred chainsaws, along with 2 cycle tillers. hedge clippers and weed wackers. Most of the problems have been from sitting with old fuel in them, as these are seasonal use items and sit more then they are ever used).
A 2 cycle engine needs to run rich when no load is on the engine, and it will run cleanly when a load is applied. The sound you are looking for is called a "burble" or "4 stroking" in the trade. If the engine currently is running - just start with the current settings on the carb. There will be 3 screws and one should be marked (L) which is the low speed mix, one should be marked (H) which is the high speed mix, and the idle speed may not be marked or might be marked (A). You should adjust the idle mix just like you do for a 4 stroke engine....you turn the screw in until the engine speed drops, then back it out until the speed increases and then just a bit more until you hear the engine tone change to rich.....then turn the screw back in until the engine runs smoothly again. Then adjusting the high speed screw is painful, as it requires that you run the engine with the throttle wide open.....although it doesn't have to be very long. The engine should not run smooth at full throttle with no load.....it should run rich and hav a "burble" sound. You can pull full throttle and adjust the (H) screw in until the engine speeds up - then adjust the screw out until the engine just starts to burble and run rich. The engine should have this sound until you put the saw into some wood and start cutting under a load. Small branches and light loads should still have a bit of a burbling sound -but when you start cutting with a good load the engine should run clean and strong.
Here is a link to a the adjustment from Madsen's, which is a very reputable shop. The page includes sound clips for the idle adjustment and for the high speed adjustment. You can hear what the sound should be when adjusted correctly.
http://www.madsens1.com/saw_carb_tune.htm