Cells capacity and current max draw
Lets assume a good quality CR2032, from Energizer, the charge capacity is specified for 0.2mA.
current draw.
If you try to take more than that, the capacity will be smaller.
See the 2nd page of the datasheet http://data.energizer.com/PDFs/cr2032.pdf

There is a battery housing, check Renata, Keystone or many others.