there's also:
beboba
3533 N. Western, Chicago
(773) 883-2622
which btw, is packed with students from Lane Tech during school days...
for a tea house (pretty sure they don't serve boba but..) they claim themselves as the only Japanese tea house in Chicago, serving Japanese/Chinese varieties:
Nada Tea
1552 W. Fullerton Ave.
773-529-2239
(annoyingly difficult parking and often odd hours, but free wifi)
but if you want the likes of lollicup, quickly, banana boat, shau may, guppy fish, ten ren's "Tea Station" etc. you're SOL. push comes to shove, St. Alps in Chinatown is the closest thing. they even serve popcorn chicken.