Hmm I'm a real problem with this one. I've been going to my college library for a few days now, and theres this cute student-library worker (HB 7) at the Periodical's desk.

Honestly I have no idea how to open in a library since is intensely studying and they are amazing strict on chatting.

Well you probably don't want to talk about books. Plus you are limited by teh fact that you don't know how much time you have before someone asks her a question which will require her to search for a book.

You want to say something along the lines of.

" I understand that it can be fun learning new things, but what do you like to do when you want to let your hair down and get away from it all."

Best of luck.

Opening librarians is easy.
Turn your phone up loud, ridiculously load, receive call right next to desk, fumble, turn it off quick. [too long and you're an idiot]
Look librarian in the face, endearing, sheepish grin.
If she smiles back, open : "Do book librarians look down on periodicals librarians, a chum of mine works at a magazine stand and the bookstore clerks won't talk to him."
A1 : haha, yes they do. [you're in]
A2 : what the fuck is a chum [you're in, she's curious, who cares what a chum is]
A3 : I don't know [you fucked it up!]

The hard part is escalating.