Well, the dealership repair shop replaced the instrument cluster again. And it solved some of the "chiming" issues.
The chime while stopping is gone, but I still have the mystery chime about 5-10 seconds after starting the truck. I've checked the washer fluid, gascap, and I've got my seatbelt on. There's just a chime and no light to say what the chime is for.
I feel that their instrument cluster angle is all wrong, because this is now the third instrument cluster that I've had the mystery chime on.

By the way, I've written a limerick about my truck. Here it is:
There once was a truck named “Ding”
Whose chiming could make people sing
The owner did say “If it ain’t fixed today
It’s back to Detroit with this thing!"

 

Well, after returning to the dealership and letting them know that there still was a problem they called Chrysler.
The single chime problem was letting me know that it was time to change the oil, even though I had just changed it.
In case anyone else has the same problem, here's the fix:
1. Turn key to second click (don't turn on engine)
2. Depress accelerator 3X
3. Turn key off
When you restart the vehicle, the chime will no longer sound.

 

Sweet sweet resolution

 

So that's what that extra chime is for?!!! Damn! It's been driving me crazy!

 

technology, its a beutiful thing. to bad they dont give the actuall paperwork that tells you what the chimes are for and how to disable them

 

that sux to hear that you went through so much trouble for it to be something as easy as that. thats why i think ill stick to my 1st gen, not as much electronics and crap

 

Glad to hear it is resolved. What a PITA!

 

Wow. This is the exact problem I was having on my new-to-me 2008. Seat belt was hooked up but it would still chime once. I'll give this fix a try later today as the dealer supposedly changed the oil when they did the safety. That said it's pretty dark after just a week. Maybe that's just the dino oil I'll probably go to Mobil 1 5w20 sooner rather than later now. I'll have to remember to do this reset every time I change the oil. I wonder how many miles until the chime comes on again?

 

Glad you got it fixed!

 

Those faulty clusters are seriously a pain, still gotta get mine replaced, glad to hear you got it fixed though