Those items that are named (not randomly) like the half life shield or the magical sombrero, you can krong them to add stuff, but if you reroll with archeology, you usually get negative stats or nothing.
There is some piece of armor that I used as a mage that no matter if it said displeased or pleased it would add or remove nothing. IIRC it had like 4 stats with 2s and 3s?
@ChocolateWaffle http://www.gaslampgames.com/forum/discussion/comment/2577#Comment_2577 @Bakyra I noticed this happens quite often myself but to be honest I never sat around constantly rerolling.