Yes, yes it does...and fairly easy to change socket to a 3-way BTDT.It does need to be a 3 way lamp for a 3 way bulb to work.
Explanation:
https://en.wikipedia.org/wiki/3-way_lamp
DIY 3 way:
http://groovygreenliving.com/how-to-upgrade-a-regular-lamp-into-a-3-way-lamp/