Publicity, limitless, from computers etc that’s skilful (6)
I believe the answer is:
adroit
'skilful' is the definition.
(I've seen this before)
'publicity limitless from computers etc' is the wordplay.
'publicity' becomes 'ad' (advert).
'limitless' indicates the central letters.
'computers etc' becomes 'it' (short for Information Technology).
The middle of 'from' is 'ro'.
'ad'+'ro'+'it'='ADROIT'
'that's' is the link.
(Other definitions for adroit that I've seen before include "Quick or adept" , "Skilful, dexterous" , "Deft and proficient" , "Apt" , "Clever, skilful" .)