How Can You Ask a Talkative Customer To Leave In a Polite Way Because You Have Too Much Work?

1- Do not open new subjects "Unless if there's something must to be said."
2- Facial expressions can be very good in this situation "Polity".

3- Tell him that we will work on his issue immediately and re-contact with him.

You don't.
Unless he keeps talking for hours in that case you thank him for his feedback and his opinions and tell him you have a meeting.

Sir/Madam I have some work to finish now, how about to have the conversation in next time.
I'm interested to have talk with you but how about to meet next time.
Thank you for your feedback, I'l manage time for you next time, thanks.

Hi! Mr.
Kalish, This is my answer to contribute the answer of your posted question.
In customer service world we cannot avoid this type of customers, They’re the callers who don’t want to end the call, the ramblers, the storytellers.
They want to tell you about their lives, their coworkers in minute details, and to recount the story of their last vacation in real time.So In managing a talkative customer and in order to get off the phone without being rude.
Here's the tips..
1.
Ask closed questions.
2.
Offer minimal response.
3.
Set out the ground rules.
4.
Make statements that psychologically lead the customer toward the end of the conversation.
5.
if the customer keeps talking, you’ve tried the techniques, they aren’t working, and you still need to end the conversation? It helps to use “I” statements and a promise for action.
Instead of blaring out with frustration

Making the following: Open Questions: Encourage your customer to explain and describe more.
E.g.
Please describe the problem you are having?.
Closed Questions: Are used to narrow the discussion and bring out specific, detailed information that you need.
E.g.
What is your invoice number?.

Just keep going back to the main subject in an indirect way like asking him questions after saying "yes I understand" or "I agree" and then ask your related question even if you interrupted him a little bit, if he will answer a long answer -you can start asking Yes/No questions and end the call / meeting as soon as possible

That is a real and frequent problem facing most of the customer services a and front offices staff.
We should know that the customer is important but he is not everything, also we should understand that serving customer doesn't mean neglect others.
Therefore the time of serving the customer should be within time frame and we should train our self and our team how to do the our perfect services within this time.

Hi! Mr.
Kalish, This is my answer to contribute the answer of your posted question.
In customer service world we cannot avoid this type of customers, They’re the callers who don’t want to end the call, the ramblers, the storytellers.
They want to tell you about their lives, their coworkers in minute details, and to recount the story of their last vacation in real time.So In managing a talkative customer and in order to get off the phone without being rude.
Here's the tips..
1.
Ask closed questions.
2.
Offer minimal response.
3.
Set out the ground rules.
4.
Make statements that psychologically lead the customer toward the end of the conversation.
5.
if the customer keeps talking, you’ve tried the techniques, they aren’t working, and you still need to end the conversation? It helps to use “I” statements and a promise for action.
Instead of blaring out with frustration

Its all about saying yes i do understand & then go for the most important thing that makes them most of the time able to end up the conversation by saying so is there is anything else i can help you with because its been a pleasure talking to you with a very big smile :)

Being assertive is the only way out and how you respond is dependent on the situation and the person you are dealing with.

You know who they are.
They call on your busiest day, when you’ve got lots of calls to return, an important deadline to meet, and that project to complete.
They’re the callers who don’t want to end the call, the ramblers, the storytellers.
They want to tell you about their lives, their coworkers in minute details, and to recount the story of their last vacation in real time.
Worse – they’re your customers.
And you don’t know how to get them off the phone without being rude! Talkative people are often interesting and entertaining on the phone, but they can also eat up a lot of your time.
To avoid wasting precious time, you should be able to manage the endless call with a talkative customer.
One of the following simple techniques should help you: With a talkative customer, ask closed questions, as much as possible.
Closed questions will prompt short answers that will help you maintain the flow of the conversation.
Opt for open-ended questions only when you need further details.