Dry fellow rising to interrupt (7)
I believe the answer is:
disturb
'interrupt' is the definition.
('disturb' can be a synonym of 'interrupt')
'dry fellow rising' is the wordplay.
'dry' becomes 'brut' (type of wine).
'fellow' becomes 'sid' (Sid is a man's name).
'rising' is a reversal indicator (going up in a down clue).
'brut'+'sid'='brutsid'
'brutsid' backwards is 'DISTURB'.
'to' is the link.
(Other definitions for disturb that I've seen before include "Upset - agitate" , "Make anxious" , "Intrude on" , "Interrupt, annoy" , "Trouble - interrupt" .)