I'm still running the Yamaha oil/foam filter, but I see No Toil are now making for the Tenere. I've had one on a DRZ, they wash out beautifully & easily in the kitchen sink with their own bio degradable cleaning solution without upsetting the missus.
http://www.ebay.com.au/itm/NO-TOIL-D...QAAOSwi0RXxfhq