Wow! I'm obviously a slacker. For normal cutting, I just pick up the saw, make sure it has oil and fuel....and cut. If I know I haven't used that saw in a while, I'll dump the old fuel out, then refill it. Whenever I change a chain, I flip the bar over.
That's about it. When something isn't running right, then they get a proper clean up and check over, but that is very rare.
The only exception is milling. If I am going milling, everything is cleaned and checked, and the H settings adjusted in the rich direction on the day. After a days milling, I do blow all of the dust out with an airline.