  We give a possible extension for shears and overshears in the case of two non
commutative (quaternionic) variables in relation with the associated vector
fields and flows. We present a possible definition of volume preserving
automorphisms, even though there is no quaternionic volume form on
$\mathbb{H}^2$ . Using this, we determine a class of quaternionic automorphisms
for which the Ander- sen-Lempert theory applies. Finally, we exhibit an example
of a quaternionic automor- phism, which is not in the in the closure of the set
of finite compositions of volume preserving quaternionic shears.
