Finishing off court activity without skill upset business connection? (8)
I believe the answer is:
intranet
'business connection?' is the definition.
(network within a business or institution)
'finishing off court activity without skill upset' is the wordplay.
'finishing off' means to remove the last letter.
'court activity' becomes 'tennis' (activity on a tennis court).
'without' indicates putting letters inside ('without' can be similar in meaning to 'outside').
'skill' becomes 'art' (both can mean a talent).
'upset' shows that the letters should be reversed in order.
'tennis' with its final letter taken away is 'tenni'.
'tenni' going around 'art' is 'tenartni'.
'tenartni' reversed gives 'INTRANET'.
(Other definitions for intranet that I've seen before include "Website with restricted access" , "Company computer system" , "Private electronic network" , "Private communications network" , "Private comms network" .)