  The fact that the cocommutative comonoids in a symmetric monoidal category
form the best possible approximation by a cartesian category is revisited when
the original category is only braided monoidal. This leads to the question when
the endomorphism operad of a comonoid is a clone (a Lawvere theory). By giving
an explicit example, we prove that this does not imply that the comonoid is
cocommutative.
