Got Leaky Windshield?

My 89 Hatch had a drip, drip coming from the upper left-hand corner of the windshield, just perfect to soak my seat (and my ass) when I flopped into the car in the morning.
Anybody else had this problem?
What's it take to fix it?
Flunky
PS-I heard of this problem from several other owners...but have no trouble with my 1990 LX. Did they fix it? Let's hear your story!

i know when my new windshield was installed, they put this caulking stuff along the inside top. but silicone might work.