The sentence "Thanks for your kindly support" is correct and can be used in written English. For example: "Thank you so much for your help. I really appreciate your kindly support.".
Thanks for your continued support.
Thanks for your support, Granny.
"Thanks for your support," he said.
Thanks for your patience and support".
"Thanks for your messages of support.
Thanks for your support, Michael Moritz.
"Thanks for your support today".
I love the desktop app, it’s always running on my Mac. Ludwig is the best English buddy, it answers my 100 queries per day and stays cool.
Cristina Valenza
Retail Lead Linguist @ Apple Inc.