I can't remember the official name of the final diagnosis but they found out that the teenager (her mom was a dwarf and initially it was thought she was a dwarf) had some type of tumor or obstruction in the base of her neck (Help me here, we missed part of it) and it stunted her growth and was making her sick. They said that once removed they could boost her growth hormones and she would grow to a normal height. At first she refused to take the medicine to make her hormones kick in because she wanted to stay like her mom, but House convinced them that she should do it in his usual "less than complimentary" way.
And don't expect the cop to be gone soon. Wilson ratted House out, they offered him a plea bargain of rehab. House stole pills (a dead man's scrpt for Oxy) from the pharmacy and OD'd on them. By the time he went to the cop and accepted the plea bargain, the cop had found out about the Oxy through the pharmacy log and took the bargain off the table. House is looking at jail time now and so is Wilson because he said he wouldn't testify against House.
I don't see this storyline going away soon. Shame, really. I don't like how it's interfering with the show, just like I didn't like that jerk that they had as a hospital administrator (the rich guy?) that wanted to get rid of House. The show is good on it's own just with the medical storylines. I wish they wouldn't do this "will House be fired" nonsense strung out through the season.
Oh and another very authentic part of the show.. when House cut himself and told Cameron that it releases endorphins and helps with the pain.. I've seen Lauri do similar things when her pain is so intense that she can't stand it. Not necessarily cutting herself all the time but I've seen her smash her hand or leg with something. We never knew there was a reason why.. she just said that when she hurt herself in another place, it helped her deal with pain. I always thought it was weird and made no sense.. now it does. It's not pretty, but it makes sense now.