Once hubby brought me an alarm clock, I slept like a proverbial baby.
In that case, I heartily approve of the alarm clock!
I was just suspicious that you might be a victim of the "nipple nazis" - Those nurses who insist the only right way to feed a baby is their way, on a rigid schedule, so many minutes on each side, etc. etc... They literally had my wife in tears when our first was born. I finally kicked them out of the room told her "Honey, just do whatever comes naturally."
I find that timer amusing in the way that any seasoned, nay, grizzled parent can. Ok, I suppose if it gives a new parent more confidence, it can't hurt too much. I just have a policy of letting sleeping healthy babies lie.
I would, however, advise that you keep a written log when baby is sick - you can't rely on your sleep deprived mind to keep track of things like when you last gave her medicine.