"it takes us both out of it"=> If the client stops talking then that takes her/him out of the conversation. In other words, no one will be talking. There will be silence, and for some people silence can be awkward.
 "we're on my dime here"
=> The client is paying for a service and so feels it's OK to do whatever s/he wants to do.
Brenda, not Branda
Student or Learner