  Microswimmers often use chirality to generate translational movement from
rotational motion. We study the swimming velocity of a spherical chiral
microswimmer and find that the self-propulsion velocity increases quadratically
with the degree of chirality in viscoelastic fluids. We show that this speed
enhancement is caused by the normal stress differences that are generated by
the rotational flows around the microswimmer, which lead to a Weissenberg
effect. Furthermore, the normal stress difference is swimmer-specific, i.e., it
will depend on whether the swimmer is a pusher or a puller.
