What are some recommended methods of cleaning wooden cutting boards?
Mineral oil is your friend

As you said, Ana, the biggest enemy of a clean — and warp-free — wood cutting board is moisture penetration. The first trick to fight this is to wipe down your cutting board fairly often with mineral oil or other food-safe wood treatment.

This helps with cleaning as it prevents liquids and bacteria from penetrating into the wood. It also has the nice effect of helping to keep flavors from embedding and transferring to other foods.

Scrape it. Scrape it good.

The second trick is to use a sturdy steel scraper to clean the surface as you go, scraping out excess moisture after each round of cutting before it can penetrate too deeply into the wood. This is something you'll especially want to do with an end-grain cutting block, which is much more absorbent than other grains.

Soap &amp; water is (mostly) all you need

When I'm done, I usually wash with light soap &amp; hot water on the board, followed by a good hard scrape with the steel scraper, so I have a nice dry, fresh surface for the next use. And store that board on its edge, not flat! This promotes even drying and prevents warping.

It's science

The smart people at America's Test Kitchen used science n' stuff and found that soap &amp; hot water was pretty effective at killing bacteria, though the USDA recommends an application of bleach dilute to really sanitize that bad boy.

Maintained board = clean board

Notable board maker, Boos, has a good list of board care suggestions, including these related to cleaning:


  
  Periodically (once every 3-4 weeks, depending upon the use and household conditions), apply an even coat of Boos ® Mystery Oil and Boos Block ® Board Cream to all surfaces of your wood cutting board. The Boos ® Mystery Oil acts as a shampoo that contains oils and minerals that penetrates through the wood surface to increase its longevity. Next, you will want to use the Boos Block ® Board Cream, that acts as the conditioner, to seal the top coating of the wood surface.
  DO NOT allow moisture of any type to stand on the cutting board for long periods of time. Don't let fresh, wet meats lay on the board longer than necessary. Brine, water and blood contain much moisture, which soaks into the wood, causing the cutting board to expand, the wood to soften, and affects the strength, of the glued joints. 
  Use a good steel scraper or spatula several times a day, as necessary, to keep the cutting surface clean and sanitary. Scraping the surfaces will remove 75% of the moisture. Do not use a steel brush on the cutting surface of your board.
  DO NOT cut fish or fowl on the work surface of your cutting board, unless you have thoroughly followed the instructions in step #1. The moisture barrier must be intact prior to cutting any type of fish, seafood, or fowl on the work surface of your cutting board. ALWAYS CLEAN THE CUTTING BOARD SURFACE THOROUGHLY AFTER CUTTING FISH OR FOWL ON THE WORK SURFACE.
  Sanitize cutting board by wiping all surfaces down with mild dish soap and water. Dry throughly. DO NOT wash your wood cutting board with harsh detergents of any type. DO NOT wash your butcher's tools on your cutting board surface. DO NOT put Boos Block ® wood cutting boards into dishwasher.
  


Happy chopping!