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I'd say not really, any amount of time can apply, even days as long as it's apparent and plot relevant (it can be implicit, context dependant, etc)
It's just a deliberate jump from the linear narrative to indicate that some time has passed usually to showcase offscreen changes (or stagnation) and such.
Edited by TrollBrutalThree years is completely arbitrary and silly, I didn't even realize that was in there. I've definitely used (and seen it used) for far less than that. As long as time passes ("apparent and plot relevant" as Troll Brutal says above), it should count.
Unless this is something for the Trope Repair Shop, you can try asking the Trope Description Improvement
thread if it's just a simple matter of adjusting the description and cleaning any needed examples (anything deeper would require the Trope Repair Shop though).
"usually" means that part is subjective average. Time Skip is pretty straightforward, the next installment/arc is set in a different time frame than the previous one, meaningfully for the setting. It can be very short, as long as it's not a jumpcut of a travel montage.
TroperWall / WikiMagic CleanupI think "plot relevant" is the key thing here. If there's a six month time jump and it's a key part of the arc, that's one thing.
If it's just "there was a gap between adventures and something happened offscreen" , I'm not so sure.
I think the example
that started the discussion was All-New Venom, where the first issue of the comics is set three months after the end of the previous Venom series, whereas the Real Life publication gap was much shorter.
For me, that also gets close to People Sit on Chairs - "time has passed" does not, by itself, seem tropeworthy, and initial publication dates are largely Trivia rather than things we trope on a work page.
Re. Mrph1
Admittedly All-New Venom was what kicked off the discussion, but it was moreso me being confused by you seeming to treat the "three years" remark as a hard-and-fast rule in your editing reason when a not insignificant number of the examples on the Time Skip page span a matter of months—if not weeks—which made me concerned it needed a TRS for rampant misuse. I wasn't sure, so I figured I'd ask ATT to get a consensus of what should be done first.
Edited by Arawn999

Is there a minimum amount of time that needs to pass for Time Skip to be applicable? The description says most examples are three years, but a significant amount of examples I've seen involve a matter of months—if not weeks.