I have eaten at a ton of Disney sit-downs over the last 15 years, and depending on what their policy is, and it does fluctuate and has changed over the years, once I have signed everything I need to sign, filled out every tip section, and had anything I needed back, like magic bands (sometimes they don't work on the mobile device so they need to take it to the back), I leave.
In some cases, they give me the guidance and all-clear to do so and for some places that means leaving the receipt you just filled out the tip on, but it seems in most of the Disney establishments, these days, (I dined as recently as last December), more and more you are filling out stuff like the tip early on in the process.
Anyway, I know I don't need to stick around once I have signed and filled the tip portion, so I leave. I am also always on the dining plan and have my magic band run and in the past always (for the most part), charged incidentals like the tip and meal extras back to my room.
Now, this upcoming trip I have in December, my process may be a bit longer, because I am not putting a card on file with Disney because I don't want to deal with the potential pit-falls of all those extra charges every $100, or whatever it is that Disney now does, so my tips will be paid for with a Disney Gift card that I will need back from the server after they run it for the the tip/meal incidentals (I usually get extra drinks/apps). So, going foreward I could very well have to wait a little longer and have some more paperwork to fill out before I can jet out of there, but I don't mind waiting as I crave the peace of mind of not worrying about extra bank charge problems that having a card on file could give me.