You mean show the field value if you're logged in, but hide it if you're not and display a message to login? You could do this using substitution IF statements and the new layout feature for field values in CB 2.x. Please see the below for substitution usage information.
www.joomlapolis.com/support/tutorials/107-use-cases/18353-using-substitutions-throughout-cb
Example profile view layout as follows.
[cb:if user="#me" user_id>"0"][value][/cb:if]
[cb:if user="#me" user_id<="0"]Please login or register to view this field.[/cb:if]