From the context, I would say that the man is surprised that Mrs. Tina let the lady get away so easily, due to Mrs Tina having a reputation for being talkative. The man was commenting on Mrs. Tina's reputation of keeping people talking and not letting them leave.
If you 'install' something, you put something in place (much like you 'install' a computer programme'). I would also say that the man probably said this in a joking manner.
I hope this clears it up, if not please say so and I will try and explain it better.
Student or Learner