Do a lot of people continue to use checklists after they get there PPL?
I guess I never answered this one...
Yes. Absolutely.
As Wayne said, it's more a "done list" these days, especially flying the exact same aircraft almost all the time, but it's out and in hand from pre-flight to post-shutdown.
"Re-integrating" it back into my overloaded brain at the beginning of the Instrument Rating was a challenge until I had figured out where I physically wanted it placed in all the piles of real paper and other crap one is buried in, when doing single pilot IFR, and at first you're so damn far behind the airplane you just hoped you got it all from memory because you're worried to stop your scan, but time and practice get ya to where you can do it all if you keep moving.
Jesse would chuckle, "Did you run your checklist?"
My unspoken response went something like... "^^#+%**+=!!!!"
After I got my cockpit clutter issues worked out and a proper "place" for everything, that helped also.
I moved away from the typical laminated Cessna POH pages "flip book style" and use one of the commercial single-card ones. One co-owner likes the original flip-book and uses it every flight, the other co-owner has a different commercial one thats tabbed and colorized and bigger and has a few pages.
So there's two checklists that live in the airplane and one in a flight bag. Mostly sharing that to say that there's three "yes" votes from our airplane.
One word of caution about commercial checklists. I found a significant error on mine for approach speeds because I sat down with it and the POH and made sure everything printed on it was accurate. The company immediately made it right, corrected their checklists for future purchasers, and sent me a corrected version free of charge with a thank-you note. Check them over carefully if you buy one.