I have an acro that has densely clustered branches and I was wondering if it is okay just to snip a branch off a branch with a pair of pliers or would that be too rough. I know I might be being a little overly cautious but I really like this coral and I do not want it to do die especially in such an avoidable way.
It looks in shape and clustering almost exactly like this.......

Thanks, would a dremel with a drill bit work?
Sure. The thing is, you don't "cut" with the shears. You cut and twist which snaps them. IMO that is the best way. Actually cutting cause more damage and can shoot your frag across the room 
And only after the twist do you really get a look at what you get to mount!
And if you do it right(wrong), you can get multiple frags of the same coral!
Or a handful of rubble and a nice bleeding wound
been there, done that

I recognize that coral and yes, it will fly across the room, some Acros do some don't, the famed austera does 
Thus the name "Infamous Flying Austera" 
My morph was "dog hair & dust bunny Austera"
In summary, the best frag tool to use on that particular coral is a slingshot. 
Pliers = rough on a delicate little piece. Recommend something with finer blade like shears, bone cutters, electrical cutters, etc... Then you only mangle the flesh at the cut and not where the pliers touch.
- dave
+80g