To recover money from them (assuming they do not choose to voluntarily pay you something), you would have to sue them in court and prove with medical expert testimony that the IV was inserted negligently or unreasonably carelessly, causing the problem. You MUST have medical expert (i.e. doctor testimony) to bring a malpractice case, and medical expert testimony can easily cost $1,500 or more--considerably more than the cost of the urgent care center. If--as we hope--you do not suffer any very large medical costs or serious long term life impairment or disability (either of which could support a large judgment or award in a malpractice case), there is no cost-effective way to force them to reimburse you: for tens of dollars, or even several hundred dollars, in costs, you'd spend more on the lawsuit than you could get back, since you have to pay your own medical expert cost (you cannot recover it from them).