I do now
Five or so months ago I was in a sad place with Tarot - just no longer interested in it. I forget how I started with Lenormand cards (but I know it was from AT somehow) and realized how more practical the readings were for me - even though we're talking Lenormand (again thanks to AT for the study section).
Now I am in the process of working with Tarot and Lenormand together - I use the Majors of the Jungian Tarot (no titles or numbers, can't stand the Minors of that deck!) lay a Lenormand over the Major in a small spread, and interpret the resulting pair. For me the Major is the archetypal force behind what is happening and the Lenormand is the real world effect (similar to a Theory and its Practical Application ).
It works for me, and all I can say is try various deck combinations and see what happens for you. Although I'm not taking my own advice here - I'm happy with the Jungian and Astrological Lenormand pairing and haven't tried others
Best wishes, and enjoy your experimentation.