Hey Apollo, thanks for the review and the great feedback! I'm still reading and still listening!
I completely agree with the fade in/out and extra effects, those would be awesome to have. Undo is a biggie too, but I'm not sure that one's going to happen just quite yet. There will be a point when it's I definitely have to do it before anything else though.
I'm just getting warmed up again and for the next version, I've added the ability to drag the current loop around, which slides the slice points along with it. You can find some cool loops using this technique.
As another starter task, I've been itching to change the slice buttons to make it so that they ONLY slice within the current loop. Would that be more useful? That way, if you load up a big song, you can mark a big loop and then chop it into 4/8/16 with those buttons instead of having those chop the entire song. (Was that too confusing?)
Anyways, if anyone has any objections to changing that behaviour, please let me know! (speak now or.....

)
Thanks gentlemen!
Albert
Edit: I don't currently have an iOS version planned, but I hope one day it'll be within reach!
2nd Edit (Feb 19, 2013: As requested, I just added full undo/redo capabilities

and that's
now released in BeatCleaver 1.2.6!