Lampshaded: Isn't it odd how we have been the same age since forever?
Invoked: A change occurs that threatens to shake up the series' dynamics, so the characters scramble to prevent the change from messing with the show.
Exploited: The characters frequently go straight to the Godzilla Threshold when solving problems, because any collateral damage caused will have disappeared by the next episode and all the characters know it.
Defied: Bob finally asks himself why the hell he keeps going back to the job if he's so inept at it that he can't go a day without losing it. The next time he loses the job, he resolves to leave it behind and find a job that he's actually good at.
Conversed: Alice: "This show is so boring Bob, nothing ever changes here...!"
The show itself begins to grow stale and predictable because no changes ever stick around, and thus fans stop watching the show.
In-universe example: Alice gets excited whenever something changes in later episodes...only for it to be for naught. A few episodes later, as a result of things only seeming to change but winding up being the same, Alice winds up depressed and/or cynical.
Reconstructed: However, people realize that, whilst the show's continuity might remain static, it still had genuine merits, and they continue watching it.