CB has no integration with the very new "thanks" feature. You could use documentation subscriber incubator project CB Query Field, which displays a database queries results as a field on users profiles (full substitution support) to query Kunenas database for the count.

The incubator project I informed you of in my previous post requires no PHP knowledge. It only requires some basic MYSQL. As a matter of fact I'll give you the query necessary so it's a simply install, create field, paste, save, done. Currently have no plans to implement the thanks feature until it has matured more.

[code:1]
SELECT COUNT(*) FROM `#__kunena_thankyou` WHERE `userid` = [user_id]
[/code:1]

Using the documentation subscriber incubator project CB Query Field you could display the results of that query (their thanks count) in a field for the user on their profile.