When starting a session in tmux like this:
tmux new -s session-name
I get the name display that does not show full name(session-name):
[session-n
How to configure tmux to allow it to show the entire name of the session? At least, extend its length to an acceptable size.
You can set the maximum character length of each status line 'section' with status-<position>-length. So for your particular case, add:
set -g status-left-length 20 # could be any number
to your .tmux.conf and it will no longer be cut off. If you don't already have a .tmux_conf file (they generally aren't created by default) you can create one in your home directory.