You're experiencing the fallout of a known bug in WebKit which causes Safari to misjudge the required space for site data storage, increasing it each time. You're virus-free!
I'd honestly recommend just wiping all your site data, given how inflated those files must be. As long as you know your logins and don't have a starving Neopet this won't affect your browsing data or sensitive information – sites will just forget that you were logged in. Barring this, Ryuguy is correct in that wiping the browser storage for KYM is the easiest fix.
If you cannot find the site in question on the Preferences pane, try manually navigating to the source:
Users/(((You)))/Library/Safari/LocalStorage
If you need help finding your hidden directories, this thread can help.
I used a fresh install of Safari for this and the number of trackers on KnowYourMeme is disgusting. Uninstall CleanMyMacX and install an adblocker while you're at it.