I guess nowdays you can have an IV therapy if you're hangover!

I went with the ambigram solution here.

(An ambigram is a word, art form or other symbolic representation whose elements retain meaning when viewed or interpreted from a different direction, perspective, or orientation.)

You can read the word "drip" if you flip it for 180º. I thought it would be a cool touch. IV's you also flip when giving them to patients. If the logo is printed on IV bags no matter how you turn them - it would always read: "drip".