Enjoy computing number (5)
I believe the answer is:
digit
'number' is the definition.
(I know that digit is a type of integer)
'enjoy computing' is the wordplay.
'enjoy' becomes 'dig' (to dig can mean to appreciate or 'get').
'computing' becomes 'it' (IT is an abbreviation for Information Technology).
'dig'+'it'='DIGIT'
(Other definitions for digit that I've seen before include "finger, perhaps" , "Finger; number" , "one's given?" , "Single numeral" , "A small number" .)