The way you described it made it a bit difficult to understand at first. I think you’re trying to say it’ll “playback” from the previous keyframe to the current, not “animate”.
Anyway this is indeed annoying and when I first experienced it I went trawling through the Iclone settings for the obvious option to turn that off. Of course there was none.
Will likely add my vote later when at my computer.
Edit: in your case I’d hit space bar to pause, then select the previous keyframe and hit “Tab”. It’d quickly jump you to the keyframe you just changed the curve for. Still annoying but possibly easier than typing the frame number in.
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