A few examples:
1. Nathan Barry's latest photoshop course is akin to 'consultancy' in that he is providing an educational service to others. He is charging for access to this course which means it can continue bringing in revenue whilst he works on other projects.
2. Luke Wroblewski and Gabriel Svennerberg are both accomplished UX Designers who consult for companies. Much of their time is spent advising clients by asking questions rather than simply designing the answer.
3. Clarity.fm and AnyFu provide a consultancy marketplace for designers (amongst other professions)
[1] http://nathanbarry.com/photoshop/
[2] http://www.lukew.com/ http://www.svennerberg.com/
[3] https://clarity.fm/browse/search/design http://anyfu.com/