Convent installing computer technology is most pressing matter (8)
I believe the answer is:
priority
'most pressing matter' is the definition.
(a priority is an important matter)
'convent installing computer technology' is the wordplay.
'convent' becomes 'priory' (I've seen this before).
'installing' indicates putting letters inside (inserted letters are installed).
'computer technology' becomes 'it' (Information Technology).
'priory' placed around 'it' is 'PRIORITY'.
'is' acts as a link.
(Other definitions for priority that I've seen before include "preferential treatment" , "the most important thing" , "Matter of greatest importance" , "Right to go before others" , "First place" .)