So my experience, take it for what it's worth;
When you take a brand new set of limbs (right off the factory floor) and put them on a bow, I've found that the peak weight will settle a pound or two after the first few days (and this is NOT because of the string stretching and the timing changing; trust me I've checked).
To me it sorta makes sense; limbs are essentially made up of glass fibers suspended in an epoxy resin, and while the manufacturer of the material tries to make sure all of the glass fibers are tensioned equally, inevitably some percentage of those fibers are over stressed and others under stressed. When the limb is cycled for the first time, I believe some of those over stressed fibers break down and the limb actually loses a little bit of it's ability to hold energy, and after a few dozen cycles all of the over stressed fibers have broken down and only the nominally stressed fibers remain.
So yes, I do believe there is a break in period with limbs, but its already happened by the time most customers receive their bow (because it happens during initial assembly/cycling). The only time someone might experience it is if they purchase a brand new set of limbs and get them changed out at the shop.