I have a Smith and Wesson 940 J Frame 9mm revolver.
We have shot 95 grain .380 ball out of it on several occasions with no issues and good accuracy at 15 yards. (Which is a good distance for a DAO 2" J Frame)
Firing .380's out of the 940 has been discussed on the Smith and Wesson forum and several of us have done it with no major issues:
http://smith-wessonforum.com/s-w-revolvers-1980-present/270463-380-acp-940-why-yes-yes-you-can.html
The only thing that I have found is that if you are going to shoot .380 and 9mm from the 940 in the same session, fire the 9mm first. The .380's dirty up the tapered 9mm chambers and make the 9mm's very difficult to extract if shot after the .380's. A good cleaning of the chambers after a range session with .380's has resulted in easy extraction of 9mm's on the next firing.
The cartridges are a little loose in the moon clip and you have to hold them in the clip while loading. The cases do swell in the 9mm chamber, but resized in my Dillon Square Deal B with no problem and no splits after 3 loadings. I kept the .380 cases fired in the 940 separate to monitor them. No problems so far.
I like knowing that my 940 will safely fire both calibers if one or the other is not available and some recoil shy shooters that have fired the revolver enjoy the 940 much more with the .380's than with 9mm. YMMV in any other 9mm revolver than the 940.