The Collaborative International Dictionary of English v.0.48:

Reading \Read"ing\, a.
   1. Of or pertaining to the act of reading; used in reading.
      [1913 Webster]

   2. Addicted to reading; as, a reading community.
      [1913 Webster]

   Reading book, a book for teaching reading; a reader.

   Reading desk, a desk to support a book while reading; esp.,
      a desk used while reading the service in a church.

   Reading glass, a large lens with more or less magnifying
      power, attached to a handle, and used in reading, etc.

   Reading man, one who reads much; hence, in the English
      universities, a close, industrious student.

   Reading room, a room appropriated to reading; a room
      provided with papers, periodicals, and the like, to which
      persons resort.
      [1913 Webster]

WordNet (r) 3.0 (2006):

reading room
    n 1: a room set aside for reading