AsyncRun jobs have three states: running, success and failure. You can edit your .vimrc to view these states in the quickfix windows' statusline:

let g:asyncrun_status = "stopped"
augroup QuickfixStatus
	au! BufWinEnter quickfix setlocal 
		\ statusline=%t\ [%{g:asyncrun_status}]\ %{exists('w:quickfix_title')?\ '\ '.w:quickfix_title\ :\ ''}\ %=%-15(%l,%c%V%)\ %P
augroup END

Global variable g:asyncrun_status indicates the these three states:

• running: set when a async job is start
• success: set when exit normally which exit code is 0
• failure: set when exit abnormally which exit code is not 0

You can use vim-airline to indicate command status too:

Add these lines to your .vimrc:

let g:asyncrun_status = "stopped" 
let g:airline_section_error = airline#section#create_right(['%{g:asyncrun_status}'])

Now, we have vim-airline cooperating with AsyncRun, you can adjust the position where g:asyncrun_status located by reading the help of airline.