“The Medicine skill determines how many Hit Points you’ll replenish upon using a Stimpak, and the effectiveness of Rad-X and RadAway.”

More potent Stimpaks, Rad-X, and RadAway? Not bad. You’ll need to use Stimpaks to stay alive in some fights, so it’s useful to get more healing out of them. It’s not really worth fretting about this skill, but the higher it gets, the more potent your meds will be, and everybody can be happy with that.