Finished drunk and on edge (7)
I believe the answer is:
uptight
'on edge' is the definition.
(I've seen this before)
'finished drunk' is the wordplay.
'finished' becomes 'up' (eg 'time's up' means the time is finished).
'drunk' becomes 'tight' (slang term).
'up'+'tight'='UPTIGHT'
'and' is the link.
(Other definitions for uptight that I've seen before include "Nervously tense (colloq.)" , "Nervously tense or stressed" , "Jumpy" , "Informal word for nervously tense" , "Tense - cross" .)