did u try this? change max allowed packet according to ur need.
mysql --max_allowed_packet=100M -u root -p database < dump.sql
I did succeed and could finally import database.
Unfortunately i didn't document properly what I did, but, the solution was in php.ini. I did change a couple of things, I remember: post_max_size = 50M, upload_max_filesize = 50M, and I did it from command line, firstly I double checked in info.php where was the relevant php.ini file.
I tried to edit mysql conf file to no avail.
Editing php.ini from command line did the trick.
Thanks i really appreciate any help, and ready to share any useful output. (unfortunately, i don't find easy to get it right with CWP)