Shaken drink going round is Tango (10)
I believe the answer is:
distraught
'shaken' is the definition.
(both can mean suffering emotionally)
'drink going round is tango' is the wordplay.
'drink' becomes 'draught' (draught is a kind of drink).
'going round' means one lot of letters goes inside another (some letters go around others).
'tango' becomes 'T' (phonetic alphabet: alpha, bravo, charlie etc.).
'is'+'t'='ist'
'draught' enclosing 'ist' is 'DISTRAUGHT'.
(Other definitions for distraught that I've seen before include "crazy" , "At one's wits - end" , "Greatly agitated in mind - hits at drug (anag)" , "Very worried and upset" , "in a state" .)