Can't go through tcsh command history when using tmux

Question

I'm new to tmux, but one thing that's really bugging me is that my command history has stopped working (pressing the up arrow does nothing), when using tmux. It works fine in the Mate terminal before starting tmux.

My .tmux.conf looks like this:

#### Prefix ####
unbind C-b
set -g prefix C-a

#### Pane switching ####
bind -n M-Left select-pane -L
bind -n M-Right select-pane -R
bind -n M-Up select-pane -U
bind -n M-Down select-pane -D

#### Current window ####
set-window-option -g window-status-current-bg yellow

#### Split panes ####
unbind '"'
unbind %
bind | split-window -h
bind - split-window -v

#### Mouse-mode ####
set -g mouse on