At one time, I believe, these two were very close, and Blair was was compared (very favorably in the MSM) with Clinton. Subsequently, Blair distinguished himself by aligning with President Bush in confronting terror, which has cost him enormous political capital in his country.
No way he could ever bask in the same artificial sunshine that the media shines on Clinton in retirement.
I believe they are still close, they appear together on economic forums, Clinton did a recorded election support video for the Labour Party and in particular Blair last year.