Exhausted - told to go around quietly (5)
I believe the answer is:
spent
'exhausted' is the definition.
(I know that exhausted can be written as spent)
'told to go around quietly' is the wordplay.
'told to go' becomes 'sent' (I've seen this in another clue).
'around' indicates putting letters inside.
'quietly' becomes 'p' (p for piano and quiet).
'sent' enclosing 'p' is 'SPENT'.
(Other definitions for spent that I've seen before include "(Of resources) exhausted" , "Worn out, having laid out money" , "Splashed out" , "Expended" , "Worn out having paid out money." .)