98 Honda Civic 4 door Windshield Replacement Trim/Molding?

Today I got my windshield replaced, afterwards I noticed that the corner of the windshield, didn't have the trimming glued down all the way. The guy told me it's tight and hard to adhere because of the cold weather and that later on the heat will help it expand and it will adhere better then. It's been 11 hours and from the corners of both sides, I can still see that the trimming isn't entirely glued down to the body of the car. You can see the windshield beneath it. I don't think it'll leak, but should I have them make sure it's glued down anyways? I'm afraid it might effect any future water leakage or something if it's not tightly secured down.
**Pictures are on the link- http://smg.photobucket.com/user/julesz/library/Car%20Molding

Thanks!

Added (1). **Thanks! The guy said lifetime warranty for defects. Just wondering if I should worry about it even if there's no leakage at the moment. I have no experience with cars, so I don't know if an area like that could lead to anything (worse) later on. I've heard that some cars don't even have top trimmings, but I've heard that if a trimming isn't glued all the way down, there could lead to rust later on?

Don't suppose you got anything in writing about the molding securing itself later? I would do 2 things ( if you are able to go to the company that did the replacement ) - first would be to run some water over the windshield while you are inside looking for leaks; if no leaks, then OK, BUT if there are leaks, then take some photos and go to the install place and have them fix it… There should be a warranty of some kind