Looking on the internet deeply has found these results:

thank you for coming back at us is the most popular phrase on the web.

thank you for getting back to us 1214,000 results on the web	thank you for coming back at us 1897,000,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
Because I'm proud of you for getting back on the horse. Deposit on what we owe you for getting back my ex. Thanks for getting my back for that whole beach issue. Team, thank you for getting me back in the game. Thank you for getting me back in the study. Thank you for getting back to me, Detective. Thank you for getting back to me. Blaine and I are leaving for New York in a few days, but before we leave, we wanted to thank you for getting us back together.	It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

thank you for getting back to us

1214,000 results on the web

thank you for coming back at us

1897,000,000 results on the web

More popular!

Because I'm proud of you for getting back on the horse.
Deposit on what we owe you for getting back my ex.
Thanks for getting my back for that whole beach issue.
Team, thank you for getting me back in the game.
Thank you for getting me back in the study.
Thank you for getting back to me, Detective.
Thank you for getting back to me.
Blaine and I are leaving for New York in a few days, but before we leave, we wanted to thank you for getting us back together.

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.