To refill my pens during large plotting projects, I designed and built a tiny peristaltic pump. It only moves ~1 ml of liquid per minute, but even that is way too much. I only need 1ml per hour. But a good thing is that pumped liquid remains in the tube which means I can power on the pump for a few seconds every few minutes. The pump runs on 4V DC and consumes ~30 mAh.