My DD is doing this. She's almost 10 months. The way I've been dealing with this is by letting her grab onto the skin around my breast, but when she starts pinching with her fingernails, I move her hand away. I let her bring her hand back until she pinches again, then after just a couple times of doing this she usually settles with just sort of pinching lightly. The issue, from what I know so far, is that if you react too strongly, the babies can become averted to nursing. I don't believe this to be entirely true and I'm sure many women have had different experiences.. The most I'll do if she pinches me really hard is to say "uh-ohh". As with so many things during infancy, this is totally a stage and I know DD will outgrow it. I, too have been wondering what to do about this pinching but then realized that she'll probably stop doing it in two or three weeks.Â
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You can't teach gentle, but you can sort of enforce it by taking baby's hand away repeatedly until they stop. That's all I can think of. HTH.