Tmux allows reverse search of the text on the screen and add the tmux-yank plugin to directly copy highlighted text onto your system clipboard
For me, customized Vim search is just miles ahead of everything else so I prefer that (not just for the search, but also to open files with gF, etc.).
I also have a couple binds in Vim to deal with tmux:
vnoremap <leader>ty "ty:call system('tmux loadb -', getreg("@t"))<cr>
nnoremap <leader>ty "tyiw:call system('tmux loadb -', getreg("@t"))<cr>
nnoremap <leader>tp :let @t=system('tmux showb')<cr>"tP