My intention is to run an LCD on a FIO with an attached Xbee and wondered if you foresee any problems with current created by that combination while using the 850mAh battery that I got for that use.
I am not so worried about how long the battery will last between charges as I am about damaging any of the components involved in that arrangement.
I haven't been able to find what the maximum current allowances are on the Fio or LCD.
I am using the Sparkfun LCD-09054 amber on black 2x16 display.
You can't damage a component by powering it from a source that can supply more current than it needs.