Inside the screen session you can use: CTRL+A (release), [
You can then use the arrows to scroll around the window. To get out of scrolling you can use CTRL+C
Ctrl + A, ESC and then vim-like commands: Ctrl + u or Ctrl + d
You can modify.screenrc to allow mouse-based scrollback.
# added on july 19 2017 by pulkit
# after editing the source from: https://gist.github.com/ChrisWills/1337178
# GNU Screen - main configuration file
# All other .screenrc files will source this file to inherit settings.
# Author: Christian Wills - cwills.sys@gmail.com
# Allow bold colors - necessary for some reason
attrcolor b ".I"
# Tell screen how to set colors. AB = background, AF=foreground
termcapinfo xterm 'Co#256:AB=\E[48;5;%dm:AF=\E[38;5;%dm'
# Enables use of shift-PgUp and shift-PgDn
termcapinfo xterm|xterms|xs|rxvt ti@:te@
# Erase background with current bg color
defbce "on"
# Enable 256 color term
term xterm-256color
# Cache 999999 lines for scroll back
defscrollback 999999
hardstatus alwayslastline
# Very nice tabbed colored hardstatus line
hardstatus string '%{= Kd} %{= Kd}%-w%{= Kr}[%{= KW}%n %t%{= Kr}]%{= Kd}%+w %-= %{KG} %H%{KW}|%{KY}%101`%{KW}|%D %M %d %Y%{= Kc} %C%A%{-}'
# Hide hardstatus: ctrl-a f
bind f eval "hardstatus ignore"
# Show hardstatus: ctrl-a F
bind F eval "hardstatus alwayslastline"