If you use the class skip glitch on Friday, you can do the following:

If you go to bed early on Saturday: You wake up at 5:44 and are booted to class, then the time is reset to Saturday 3:00pm. The clock will be visually frozen at 3:00 for some reason. While time doesn't appear to be passing, it runs in the background, you will eventually get the warning at 5:45 pm for the iCarly show starting soon, whether you loiter or go to bed, which will either boot you to the web show as normal OR teleport you to class and reset the time back to 3:00 pm on Saturday if you have performed the class skip multiple times prior.

If you don't go to bed early on Saturday: You will be booted to class at 9:01 am as if it were a weekday, and the late for class cutscene will repeat as long as you have more missed classes in the stack. (if you performed the class skip multiple times) Unlike when going to bed early, all of the late for class cutscenes are executed, clearing the stack of missed classes.

Doesn't seem useful but odd: When your clock is frozen, if you go to the iCarly studio and enter and exit the Peggle minigame menu, the timer will update to the real time, albeit still visually frozen.

Unfortunately all of these glitches prolong a run as opposed to make one faster. But there could be something I didn't find. I thought they were interesting nevertheless.

These findings are in line with what Lord Asdi and I found when we experimented with this glitch. EZScape actually did this by accident in week 1 of his most recent Any% run, but the softlock was somehow averted.

That the peggle minigame practice updates the timer is interesting though, we hadn't discovered that. Thanks for sharing your findings!