I would start by cleaning off all the grease from the case, the 3-pin click ring, and the bezel tension ring under it (washer). Then clean out as much of the grease as you can from the bezel underside (use Q-tips). What you can't clean off will be more than enough to do the job. I never use anything but a very thin coat of silicone grease on the hytrel ring. Don't put the bezel into an ultrasound cleaner or under a lot of soapy water with the insert installed unless you are ready to re-adhere the insert afterward.
Next refit the parts making sure the pin bases (oval feet) on the 3 pin click ring are situated inside a scallop on the crystal retaining ring. This can cause a blockage if the oval feet get jammed up on top of a scallop. Also make sure the pins are in the right holes (NOT the long oval holes) on the bezel underside. Then you have to make sure the oval feet don't pop up out of their scallop curve as you press the bezel on. If you get the bezel pressed on with the other parts still positioned correctly and it still won't rotate, switch the vertical orientation of the hytrel ring and try again. If it still won't rotate, the bezel tension ring (washer under the click ring) or the oval feet on the click ring may need to be carefully sanded a little so they work more smoothly.