google leafminer for information--it is the larvae of a fly that 'mines' inside the leaf

I just pick off the leaves and dispose of them as opposed to throwing them on the ground.

There are beneficial wasps that help in its control.

No insecticidal control would be recommended for the homeowner.

I picked off the badly damaged leaves and based on info from another site, I also used NEEM Oil and that seems to have prevented the leafminers from spreading to the new leaves.