Thanks for your questionCustomer
In order to be of more assistance, it would help me to know what kind of medication was going through that IV. Was it just saline fluid, or were there medications in the IV? A list of your medical problems may be helpful as well.
The other expert appears to be offline and it seems you are waiting for an answer so I would like to help.
The situation you mentioned is one of the common complications of intravenous solution - it can be infiltration or extravasation. That happens when the solution gets in the surrounding tissues.
Depending on the severity it may had caused only significant local reaction, skin discolored, bruising, considerable swelling. Sometimes the kind of drug injected could have severe harmful effects.
Circulatory impairment or nerve defect can be expected if there is severe edema or swelling but it will be unlikely to have permanent damage. Possible infection (cellulitis) can also happen anytime. At the worst, it can end up to developing into necrosis (death of cells) when the tissues are severely deprived of blood supply due to vasoconstriction. The following bad consequence would be not only permanent damage but possibly losing the hand. Do not be that scared as that situation happens rarely.
If your hand has no severe swelling now, then you need not to think of worst possibilities. With due treatment and care it is supposed to improve shortly.
I hope that helps. Let me know if there is something you need to clarify.