I do a bit of woodworking out of my home shop and between using my jointer planer, thickness planer, table saw, radial arm saw, and shaper, I accumulate a pretty good bit of wood shavings and sawdust. I shop vac it all up and dump them into the compost pile. Then it gets turned into the pile and I'll add some water since they are bone dry and will wick away moisture from the pile. If I make too much shavings, I'll just dump it sparingly between the rows on the organic material that is already there.
We have a real problem here in SE La. with termites. I won't add so much that it becomes a magnet for them, and apparently I'm doing OK with that since I have no termites in either my compost piles or garden rows.
If I'm doing a good bit of work in my shop, I'll simply bag the excess and use it at another time as to not overload the compost pile or garden with shavings. Also, I never, ever put anything in my pile that comes from pressure treated material, which I do have to use from time to time on outdoor projects.