I don't know a place in Queens, only Manhattan & Brooklyn:
http://times-up.org/index.php?page=bike-co-op
Calendar of Workshops and Classes
Repair Class: Cups, Cones, Bearings Tue, Mar 15th, 6:30 pm, 156 Rivington St. (between Suffolk & Clinton St in Manhattan's Lower East Side) in the basement.
Fix Your Bike Workshop-Brooklyn Wed, Mar 16th, 6:30 pm, Time's Up! Brooklyn at 99 South 6th Street, off Bedford Avenue, right under the Williamsburg Bridge
Fix Your Bike Workshop-Manhattan Thu, Mar 17th, 6:30 pm, 156 Rivington St. (between Suffolk & Clinton St in Manhattan's Lower East Side) in the basement
Fix Your Bike Workshop-Brooklyn Sun, Mar 20th, 6:00 pm, Time's Up! Brooklyn at 99 South 6th Street, off Bedford Avenue, right under the Williamsburg Bridge
Ladies' Class: Cups, Cones, Bearings Mon, Mar 21st, 6:30 pm, 99 South 6th Street, Brooklyn off Bedford Avenue, right under the Williamsburg Bridge
Bike Repair Class: Wheels and Spokes Tue, Mar 22nd, 6:30 pm, 156 Rivington St. (between Suffolk & Clinton St in Manhattan's Lower East Side) in the basement.