I've seen a couple of threads about lag, but I haven't experienced any lag in anything (as of yet) on my Note 7. I had been planning on trying out TouchWiz, and then going to a different launcher when I experienced the dreaded and much talked about TouchWiz lag (but I haven't encountered it), but I've stuck with TouchWiz. (Coming from an HTC One M8 which is said to be close to pure android I was surprised to find TouchWiz smooth and lag free). I had planned to go into developer mode and turn off animation, but after using it for the first two days I didn't see a reason to. (I eventually did go in because I'd heard about being able to set animation to 0.5, and was curious). For people that are experiencing lag try lowering or turning off animation in developer mode, and then try a couple of the other things I've listed below to see if they help you.
People had said that the sound quality wouldn't be good on the Note 7, but I've found it to be good. (Once again coming from the HTC One m8 I expected it to be very bad in comparison). You may find you'll like it even more after changing settings in the equalizer area of the sound settings. If you're going to listen to music/sound with headphones go in and set the adaptive sound where it tests your hearing with beeps to customize the sound to you.
During the end of my run with my m8 (before I got my Note 7). I switched from using Verizon's Support and Protect app to using Avast and saw a large increase in my battery life. I haven't switched anti-malware/anti-virus apps on my Note 7 yet, but I probably will at some point.
In Application manager I disabled:
Caller Name ID
Hangouts
NFL Mobile
Slacker Radio
VZ Navigator
(edit: Also make sure to disable DTIginte. You have to click on the three dots at the top right, and choose show system apps.)
If you don't use the Verizon Tones, (Verizon's) Cloud, Support and Protect (if you're using a different anti-malware/anti-virus protection), or any other Verizon apps you can disable them as well.
Apply a dark wallpaper and/or theme to save on battery.
I've switched my phone to adaptive brightness. For those that don't already know the Note 7 has two ambient light sensors - one on the front (top) and one on the back (camera area)). The screen is always has always maintained a excellent level of brightness and contrast while I've had ambient light enabled, and I haven't visually noticed when it makes the change in brightness it does it so smoothly. (In maximum power saving mode outside the screen can get a bit too dark - it might be switching off the adaptive setting- , but in the mid setting it still has wonderful brightness and contrast).
Color wise I've set my phone to basic (which is the most true to life color representation).
If you're not going to be using your phone for anything for awhile (sleeping, working, watching tv, etc) switch it over to maximum battery mode. I've now gone multiple days (three +) without needing to charge it. If you've got a android wear watch (like I do - an Asus ZenWatch 2), and you want to keep its connection active you can put it in mid power mode, or customize maximum power mode.
Those are a few of the changes I've made, or plan to make to my Verizon Note 7, and have found beneficial. Hopefully other's will find them useful as well.
I'm very much enjoying my phone so far, and have nothing to complain about.