I'd probably make a spritesheet with the person who wants to throw the person down, holding the person and having the one facing in different directions and looking scared more or less. Then a sprite with the "thrower" hopding his/her hands up, suddenly without the other person. It's hard to make something like this work or look really cool soooo XD
It's even harder than a falling animation i guess. Usually I'd say "hey, you can look how other people managed to do that ;)" but that's just not the case since I hardly see someone who made it convincing, you know what i mean XD the others probably have better ideas. Anyways good luck~
[doublepost=1468187471,1468187409][/doublepost]And add some fancy soundeffect like "phewww" or "ploooooosh"