Computer game is the pits, one cries (11)
I believe the answer is:
minesweeper
'computer game' is the definition.
(I know that Minesweeper is a computer game)
'the pits one cries' is the wordplay.
'the pits' becomes 'mines' (I've seen this in another clue).
'one cries' becomes 'weeper' (someone who weeps).
'mines'+'weeper'='MINESWEEPER'
'is' acts as a link.
(Other definitions for minesweeper that I've seen before include "PC game" , "In the main, clearer" , "Naval vessel" , "One removing bombs" , "Warship" .)