Received with thanks by Mr Livingstone (5)
I believe the answer is:
taken
'received' is the definition.
(taking is a kind of receiving)
'thanks by mr livingstone' is the wordplay.
I cannot really understand how this works, but
'thanks' could be 'ta' (UK informal version of 'thank you') and 'ta' is located in the answer.
'mr' could be 'ken' and 'ken' is found in the answer.
No letters remain.
This explanation may well be incorrect...
'with' acts as a link.
Can you help me to learn more?
(Other definitions for taken that I've seen before include "Kidnapped" , "Removed; occupied" , "Obtained" , "Charmed" , "This is spoken for" .)