Only once I dropped some iron armor and a guy came up to me asking if he could use the armor I dropped, still no fights though.
Oh well:
There was this one quest (of the mage's guild I think), where I had to go through a dungeon with some other guy (I rescued him in that dungeon).
I had to drop a piece of armor, and he asked me, if he can keep it. I said yes, but he didn't even used it then.
The following 40 minutes or so (the time I needed to go through that dungeon) that NPC became the most annoying character I've ever seen in a game, asking me like every minute that same [censored] question, and no matter how I answered ("yes, keep it" or "no, you can't have it") he kept going on.
Great feature really ...
http://www.youtube.com/watch?v=Z-E1lXgE_TM
Oh god, this is pathetic.
Of course they implemented that feature to make the world feel more "authentic" and like it would "react" to what the player does.
But this situation (like many in Skyrim) feels so damn stupid and unrealistic, that it's just ridiculous. It does the opposite of what it's supposed to.