When I draw enso circles as a contemplative practice, I work toward non-judgement and non-attachment. This often refers to my thoughts about how a circle looks or how I am performing a brush stroke. As I draw, I note the instantaneous reactions that arise in my mind. Then I do my best to then let go of those thoughts, such as whether a brushstroke is interesting and whether my circle is balanced. I set thoughts aside just as I set each circle aside at it's completion.
I keep the circles that I draw and look at them later however some enso practitioners do not. They ceremoniously and mindfully draw their circles. They view their art, then carefully fold up their drawings, to be placed into recycling at the end of a practice session. That way they cannot be attached. I have practiced like this in sessions with special handmade brushes that made amazing marks. The Enso Circles that were created were wonderful. Folding them up shortly after their creation made me aware of my tendency toward attachment and the feeling of freedom in letting go.