Deftly handles lost upset animal (11)
I believe the answer is:
manipulates
'deftly handles' is the definition.
'manipulates' can be an answer for 'handles' (manipulating is a kind of handling). I am not sure about the 'deftly' bit.
'lost upset animal' is the wordplay.
'lost' indicates anagramming the letters.
'upset'+'animal'='upsetanimal'
'upsetanimal' with letters rearranged gives 'MANIPULATES'.
Can you help me to learn more?
(Another definition for manipulates that I've seen is " Controls with dexterity".)