Thank you for your question.
It does appear that this swelling is related to your new tattoo. There are a couple of possibilities. Following a tattoo there is going to be some inflammation in the area which will result in swelling and edema. When this is pressed, it can result in a dent appearing. This is not a serious problem.
There is a possibility of infection following a tattoo. This would be more serious. In this case there would be redness
, swelling, tenderness and there may be weeping from the tattoo.
would be less likely as any bleeding tends to be very superficial and would be unlikely to collect under the skin to a great extent.
My advice would be to keep your wrist elevated when possible. Watch for increasing pain, tenderness, redness or a fever
developing. If these signs appear then I would suggest a visit to your doctor for further advice and examination.
I hope this has been of help.