Yes! I was going to say the same thing. Even with clean, tumbled brass, you'd be surprised how much crud gets stuck inside of dies. So, take them apart every now-and-then and clean them with your favorite solvent.
If you use a (manual) powder measure take that apart a couple of times a season and clean it too. For electric dispensers, use canned air to blow out the hopper and any parts you can reach. Keep scales clean too.
If you use a ram type press (RCBS, Lyman, Lee, etc.), take it apart at the start (or end) of the season, clean the parts, lightly lube them with a light machine (or gun) oil, and reassemble.
Watch the (cartridge) rim slot in your shell holders. Even a little bit of junk stuck in there will mis-align a case going into a sizing, or seating die.
Keep primer tools extra clean! Even a little bit of loose primer "dust" in one is a dangerous situation. Use canned air to blow it out regularly, and take it apart for a thorough cleaning at least once a season. No oil on primer seating stems! Use powdered graphite to lube them. Speaking of priming -> priming tools have a bad habit of flipping a primer every now and then. If one gets by you, it will fire but will damage the bolt (or slide) face of what it's fired in. Look at every case head after it's primed to make sure it's good to go. For automated loaders, always check every finished round to make sure the primer is in, right-side-up!
As PB said - keep the environment clean, i.e., dust and wipe down surface areas, sweep the floor periodically. Do not use a household vacuum cleaner.
Finally: Always watch for the unexpected. If you're humming right along (Maine-speak for "things are going smoothly"

), and something looks or feels fishy, stop! I was charging a batch of primed, pull-down .30-'06 brass, when all of a sudden the powder overflowed a case. Thinking I may have double-charged it, I dumped the charge and tried again with the same result. A "mud dobber" had gotten in the case and deposited a plug-of-mud about a 1/2" thick in its head! I immediately checked the rest of the cases and found several more that had been affected. Had I been using a faster powder like 3031, or 4895, it might have fit in the case okay, but been a disaster when it was fired.
Chris Mitchell