Worker left half abandoned gets to manage (6)
I believe the answer is:
handle
'manage' is the definition.
(synonyms)
'worker left half abandoned' is the wordplay.
'worker' becomes 'hand' (hand is a kind of worker).
'left half' means to take half the letters.
'abandoned' becomes 'left' (I've seen this before).
'left' halved is 'le'.
'hand'+'le'='HANDLE'
'gets to' acts as a link.
(Other definitions for handle that I've seen before include "Feel; name (colloq.)" , "Manage or deal with - in manual way?" , "Informally, personal title or name - sounds manual" , "Part by which something is held" , "Touch, hold, move" .)