when was the last time it ran?
if has not ran for abit then most likely your needle is stuck in the needle and seat , to prove this that your air filter off and just dump a very small amount of your mixed gas down the throat of the carb, make sure saw is turned on and see if if it fires .
Now you could be the other way and be flooded real bad , if so take sparkplug out , make sure you turn the saw off so not to blow the coil , flip saw up side down so sparkplug hole is on the bottom and turns saw over easy , if flooded you should see gas coming out the sparkplug hole