How long have you had your NV4500? If you are new to the game, please realize that whines, groans, and other noises are normal for these tranny's. They are generally characterized as sounding like "a box of rocks".
Having said that, there are several things that come to mind:
1) What fluid are you running in it? They require a VERY specific fluid. Either either the Mopar NV4500 specific lube (dealer only at $25/qt) or I have recently seen AA advertising the Castrol Syntorq fluid. Not sure on the Castrol, but if you want to try it, I would call AA and see what they have to say before dumping/refilling. There is also a VERY definitive write-up on NV4500 lubrication originally posted by Jaffer at http://forums.jeepsunlimited.com/ubb...ML/000540.html
2) The NV4500's are notorious for having a nut on the overdrive gear back off. This NORMALLY only happens behind the big diesels and such they are designed to run behind. I doubt this, but thought to mention the possibility.
3) What I MOST suspect: On mine, when I lug the tranny (i.e. very low engine RPM for a given gear like 1000RPM in 5th) it will whine like that. Moving the stick in the manner you have described stops it. Downshifting stops it. Going into that gear at a higher RPM stops it.
SO my assessment, is that it's PROBABLY nothing, but above is some useful information you can get started with just in case it's SOMETHING.
'83 CJ-7 nothing original but the tub and axle tubes