It's not easy to clean the 1-piece snap in bearings WITHOUT removing the rods...
Here are 2 methods that have "okay" success in cleaning the bushings/bearings without removing the rods.
1) Tons of Lube method
1a) wipe a rod dry with a rag or paper towel
1b) pull the rod toward you
1c) put a good bit of lube on the rod
1d) spin the rod as you move it away from you, getting the lube in between rod/bushing
1e) the lube will coat the bushing, moisten the build-up, hopefully loosen some of it and you'll see black specks in the lube that coats the rod as you slide it out of the bushing
repeat with step 1a! varying how much lube you put on, and how much you spin the rod/work the lube into the bushing... carefully clean the rods and bumpers so you don't end up with excess lube spitting out onto the playfield.
repeat this for other side of this rod.. and other rods if you get the results you are looking for.
2) 1/4 sheet of paper trick
warning this one could backfire if you get piece of paper wedged between bushing and rod - you could SLOW things down even more!
2a) have tools nearby if you need to remove the rod to get PAPER PIECES UNSTUCK
2b) cut up a few sheets of paper into 1/4" pieces... about 4" x 5"
2c) wrap a piece of paper around a rod between the handle and the sidewall... wrap it so that 1 corner of the piece of paper points toward the bushing, the piece of paper should be very tight to the rod!
2d) carefully slide the rod so that this corner of the piece of paper goes between the rod and the bushing, with light twisting motions that corner of the paper will act somewhat like a scraper, or pipe-cleaner and as you slowly slide/twist the rod back OUT of the bushing.. you should see some gunk/build up...
2e) rotate the piece of paper.. try another clean corner and repeat.
You can try combinations of the 2 methods above. It could help you in a pinch.... or in your foos travels.
When you have time - you'll want to eventually schedule a "table tune up" and remove the bushings for thorough cleaning or rotate in some new ones for an amazing improvement to a well used table.
JimW