I'm always a little annoyed by Fozzie's rather clumsy "Oh I need a watch" watch in VMC, where he obviously needed one for the plot so they gave him one. (But it beats his "Oh I need a guy-living-in-my-finger" finger which they gave him for MTI). However, it kinda doesn't make sense that within the Muppet World hardly anyone wears watches...while in the real world, almost everyone has one.
Now, I'm sure Piggy was seen with a watch once...And I'm sure that Scooter has a watch sometimes that he checks.
Jim Hawkins certainly had a watch that his...father...gave him.