I believe Master Lin is gentler and says that it's okay to not fully rid the chatter but to greatly reduce it. Kind of the Good, Better, Best approach. By taking the gentler approach you don't destroy the Better or Good by becoming upset that it's not the Best (complete silence).
One of the approaches I'm using is that when I notice chatter, I adopt the peaceful, wise and supportive air towards myself that Master Lin would demonstrate. I smile at myself and remind myself in one of several ways. I really do smile. In and understanding manner I tell myself things like:
Nicely done, now return to the emptiness.
This is my time to experience the meditation (active or not) and I'll analyse later.
I give myself permission to be fully in This experience.
I choose to be doing this, here, now.
I release those thoughts and return to myself.
I've taken on the idea that after 20 years I will still probably not be able to completely stop mental chatter, but I will have reduced it to almost nothing. The idea that after all those years chatter may creep in a few times a year. Isn't an admission to failure, but an acceptance that I will always be a student. 
You are perfection.
Iam2 
