Dodge-A-Cog is not an actual subject, meaning it is not in the actual version of Toontown and/or was scrapped.
Dodge-A-Cog was a trolley game in Toontown Beta 2 which was removed. Not much is known about it. According to the Toontown release notes, toons had to collect the candy but stay away from the cogs. It also says if the toon cleared the level, they received a bonus.