A fictional universe that is constantly being rewritten, retconned, and rebooted that is therefore made up of many different variations of a character without ever being set in a particular canon.
The claytinuity of the James Bond films prior to the 2006 film Casino Royale has had various different portrayals of the character of James Bond by different actors.
DC's claytinuity is always changing, a clear example of this is Batman's continual costume change going from dark black to light blue and then back again.
Marvel Comics' One More Day was a big example of the claytinuity of the Marvel Comics Universe.
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