There are many reasons babies suck their hands/fingers....most of the time it was a self-comforting habit especially also if they have to cry a lot before they are put to the breast.I t may then become a habit. What you need to do mums is to ensure you are breastfeeding your baby frequently at least every 2 - 3 hours. There is no need to wear glove...pacifier is even a worse alternative. Try and wash her hands frequently to prevent introduction of germs and IGNORE THE HABIT......It will go away....Make sure the baby feeds well.....Remove the hand and give breast milk when due...The baby should feed 8 - 12 times a day on breast milk and if adequately fed should sleep 2 - 3 hours after feeds though the duration gradually reduces as baby gets older