you may want to google "Flettner Rotor" for some practical application of the Magnus effect, in mainly shipping and to a lesser extent in aviation.
Not sure, if it applies to tyres, as due to them contacting the ground (hopefully), there is no true flow around them, as in the sense of the Magnus effect/Flettner Rotor.
A lot of research has been done on the subject by Ludwig Prandtl at the University of Goettingen, Flettners work, was mainly based on this research.
I'm sure you can dig up more informations, if you search the web for it.
Some info can be found here:
http://www.see.ed.ac.uk/~shs/Climate%20 ... Paper4.pdf
http://www.pilotfriend.com/photo_albums/potty/2.htm