I find the need to clean out my pivots after an Edgepro sharpening session. Even with all the care and tape I can give the knife, I always "seem" to get swarfy water into the pivot somehow, or maybe just plain water not sure which. The idea of swarf in the pivot system really bothers me, and after a good edgepro sharpening, my blades do not move quite as smoothly.
If it is a knife I do not feel comfortable taking apart (Griptilian!) I simple take some warm soapy water in a shallow plastic pan thingy, and swish the pivot area back and fourth in the water until I work up some suds, then I dry out the knife with compressed air. I THEN take benchmade blue lube cleanser, and do the same exactly thing, blow it out with air a bit, then drip some Diawa oil in the pivot area. Cleans er right up. I can't recommend Benchmade Blue lube enough for flushing, magical stuff. It also removes magic marker and gunk from the blades very well.
Taking care of a knife is very easy if you have an air compressor : )