I have (had) a uCurrent with the 321T. I received a LMV321IDBVR from Digikey and replaced the 321T. I'm still reading an offset on my Fluke 15B+ in the mV scale with nothing on the current input.
Without a capacitor across the output:
OFF->nA/uA/mA->0.0mV
ON->nA->0.0mV, ON->uA->-0.2mV, ON->mA->-0.2mV
SHORT->nA->-0.8mV, SHORT->uA->-0.3mV, SHORT->mA->-0.2mV
With a capacitor across the output:
OFF->nA/uA/mA->0.0mV
ON->nA->0.0mV, ON->uA->-0.1mV, ON->mA->-0.2mV
SHORT->nA->-0.5mV, SHORT->uA->-0.1mV, SHORT->mA->-0.1mV