No root permission after installation of ClockworkModRecovery kernel My smartphone is the Samsung Galaxy Ace 5380 running Android 2.3.6 and I want to flush it with the CyanogenMod 7.2

I'm performing the steps from this guide: http://wiki.cyanogenmod.com/wiki/Samsung_Galaxy_Ace:_Full_Update_Guide

I have done the "Installing the ClockworkMod Recovery" steps and performed a backup of my current ROM. Now I want to run a backup with Titanium but it says that I have no root permissions.

I thought the ClockworkMod Recovery kernel brings the root permission, because it sounds so by the guide mentioned above.

Is there any other thing I have to do now to activate the root permission or must I root my phone additionally with some other guide? If so, I read that after the root-procedure I have to "wipe data factory reset" and that would delete the things I want to update, but for the update itself, I need root permissions.
The root permission exists inside the recovery, but not in the normal system, you need to root it in there.

There is usually, two partitions recovery and system, as the OP indicated, was booted into the CWM Recovery which resides on recovery hence is rooted, but not the normal Android system.