Computer database initially kept so badly (7)
I believe the answer is:
desktop
'computer' is the definition.
(desktop computer is a kind of computer)
'database initially kept so badly' is the wordplay.
'initially' indicates taking the first letters.
'badly' is an anagram indicator.
The first letter of 'database' is 'd'.
'kept'+'so'='keptso'
'keptso' with letters rearranged gives 'esktop'.
'd'+'esktop'='DESKTOP'
(Other definitions for desktop that I've seen before include "often supports a mass of papers?" , "board?" , "Background in computing" , "Sort of publishing" , "working area in office" .)