I’ve a couple, none on my wrist yet. I didn't think any of mine injured, just a weird sensation, but I’ve heard from many people that the wrist is one of the most painful places to get one.

I do have one on my foot, which I would think is similar, but it depends on your pain tolerance, too. If you really, truly want it though, you should get it anyway!

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it stings a tiny, but it's not agonizing. feels like the person is just dragging a pen around on your flesh and pushing very hard. certain areas of the body will hurt worse than others. when i got my first, i asked the guy where i should do it and he jokingly told me “behind your knee cap, on your ear, etc.” lol.
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Yes they injured, whoever states they don't are not telling the truth, but as soon as it is over you wanna do it again. The wrist will be very tender.
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Check with your artist to make sure they will tattoo your wrists where you want it.

Some won't go down so far on the wrist for some reason.

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I got one on my right shoulder blade

its hurts a tiny bit

it will hurt on your wrist though

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Of course as much as a bad sunburn hurts.