Here is the output on trying to remove mysql-client
It seems likely that it will remove the server.
The following packages will be REMOVED:
mysql-client-5.5 mysql-server mysql-server-5.5 mysql-workbench
0 upgraded, 0 newly installed, 4 to remove and 120 not upgraded.
After this operation, 136 MB disk space will be freed.
Do you want to continue? [Y/n]